30,000

From HandWiki
Short description: Natural number
← 29999 30000 30001 →
Cardinalthirty thousand
Ordinal30000th
(thirty thousandth)
Factorization24 × 3 × 54
Greek numeral[math]\displaystyle{ \stackrel{\gamma}{\Mu} }[/math]
Roman numeralXXX
Binary1110101001100002
Ternary11120110103
Quaternary131103004
Quinary14300005
Senary3505206
Octal724608
Duodecimal1544012
Hexadecimal753016
Vigesimal3F0020
Base 36N5C36

30,000 (thirty thousand) is the natural number that comes after 29,999 and before 30,001.

Selected numbers in the range 30001–39999

30001 to 30999

31000 to 31999

  • 31116 = octahedral number[4]
  • 31337 = cousin prime, pronounced elite, an alternate way to spell 1337, an obfuscated alphabet made with numbers and punctuation, known and used in the gamer, hacker, and BBS cultures.
  • 31395 = square pyramidal number
  • 31397 = prime number followed by a record prime gap of 72, the first greater than 52[5]
  • 31688 = the number of years approximately equal to 1 trillion seconds
  • 31721 = start of a prime quadruplet[6]
  • 31929 = Zeisel number[7]

32000 to 32999

33000 to 33999

  • 33333 = repdigit
  • 33461 = Pell number,[10] Markov number[11]
  • 33511 = square pyramidal number
  • 33781 = octahedral number[4]

34000 to 34999

  • 34560 = 5 superfactorial[12]
  • 34790 = number of non-isomorphic set-systems of weight 13.
  • 34841 = start of a prime quadruplet[6]
  • 34969 = favorite number of the Muppet character Count von Count[13]

35000 to 35999

36000 to 36999

  • 36100 = sum of the cubes of the first 19 positive integers
  • 36463 – number of parallelogram polyominoes with 14 cells[17]
  • 36594 = octahedral number[4]

37000 to 37999

  • 37378 = semi-meandric number[18]
  • 37634 = third term of the Lucas–Lehmer sequence
  • 37666 = Markov number[11]
  • 37926 = pentagonal pyramidal number[3]

38000 to 38999

  • 38024 = square pyramidal number
  • 38209 = n such that n | (3n + 5)[19]
  • 38416 = 144
  • 38807 = number of non-equivalent ways of expressing 10,000,000 as the sum of two prime numbers[20]
  • 38962 = Kaprekar number[21]

39000 to 39999

  • 39304 = 343
  • 39559 = octahedral number[4]
  • 39648 = tetranacci number[22]

Primes

There are 958 prime numbers between 30000 and 40000.

References

  1. "Sloane's A002110 : Primorial numbers". OEIS Foundation. https://oeis.org/A002110. 
  2. 2.0 2.1 "Sloane's A001599 : Harmonic or Ore numbers". OEIS Foundation. https://oeis.org/A001599. 
  3. 3.0 3.1 3.2 "Sloane's A002411 : Pentagonal pyramidal numbers". OEIS Foundation. https://oeis.org/A002411. 
  4. 4.0 4.1 4.2 4.3 "Sloane's A005900 : Octahedral numbers". OEIS Foundation. https://oeis.org/A005900. 
  5. Weisstein, Eric W.. "Prime Gaps". http://mathworld.wolfram.com/PrimeGaps.html. 
  6. 6.0 6.1 Sloane, N. J. A., ed. "Sequence A007530". OEIS Foundation. https://oeis.org/A007530. 
  7. "Sloane's A051015 : Zeisel numbers". OEIS Foundation. https://oeis.org/A051015. 
  8. Sloane, N. J. A., ed. "Sequence A088959". OEIS Foundation. https://oeis.org/A088959. 
  9. "Sloane's A076980 : Leyland numbers". OEIS Foundation. https://oeis.org/A076980. 
  10. "Sloane's A000129 : Pell numbers". OEIS Foundation. https://oeis.org/A000129. 
  11. 11.0 11.1 "Sloane's A002559 : Markoff (or Markov) numbers". OEIS Foundation. https://oeis.org/A002559. 
  12. "Sloane's A000178 : Superfactorials". OEIS Foundation. https://oeis.org/A000178. 
  13. "Why was 34,969 Count von Count's magic number?". BBC News. 2012-08-30. https://www.bbc.co.uk/news/magazine-19409960. 
  14. "Sloane's A000073 : Tribonacci numbers". OEIS Foundation. https://oeis.org/A000073. 
  15. "Sloane's A005165 : Alternating factorials". OEIS Foundation. https://oeis.org/A005165. 
  16. "Sloane's A195163 : 1000-gonal numbers". OEIS Foundation. https://oeis.org/A195163. 
  17. Sloane, N. J. A., ed. "Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". OEIS Foundation. https://oeis.org/A006958. 
  18. "Sloane's A000682 : Semimeanders". OEIS Foundation. https://oeis.org/A000682. 
  19. Sloane, N. J. A., ed. "Sequence A277288 (Positive integers n such that n)". OEIS Foundation. https://oeis.org/A277288. 
  20. Sloane, N. J. A., ed. "Sequence A065577 (Number of Goldbach partitions of 10^n)". OEIS Foundation. https://oeis.org/A065577. Retrieved 2023-08-31. 
  21. "Sloane's A006886 : Kaprekar numbers". OEIS Foundation. https://oeis.org/A006886. 
  22. "Sloane's A000078 : Tetranacci numbers". OEIS Foundation. https://oeis.org/A000078.