15000
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 46860
- Proper Divisor Sum (Aliquot Sum)
- 31860
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4000
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 177
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Order of the group SL(2,Z_n).at n=24A000056
- a(2n) = n+2, a(2n-1) = smallest number requiring n+2 letters in English.at n=24A000916
- Smallest natural number requiring n letters in English.at n=12A001166
- a(n) = (7*n+1)*(7*n+6).at n=17A001526
- Number of self-avoiding walks on hexagonal lattice, with additional constraints.at n=5A007200
- McKay-Thompson series of class 5B for the Monster group with a(0) = 0.at n=28A007252
- a(2n-1) = n+2, a(2n) = smallest number requiring n+2 letters in English.at n=25A014388
- Positive numbers k such that k and 3*k are anagrams in base 7 (written in base 7).at n=19A023069
- a(n) = Sum_{k=0..n} (k+1) * T(n,k), with T given by A026386.at n=10A026955
- Inflation orbit counts.at n=19A031367
- Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*10^j.at n=12A038252
- Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*5^j.at n=12A038307
- McKay-Thompson series of class 5B for the Monster group with a(0) = 1.at n=28A045483
- a(n) = n^3 - n^2.at n=25A045991
- Duplicate of A052562.at n=4A047054
- A convolution triangle of numbers generalizing Pascal's triangle A007318.at n=22A049326
- Generalized Stirling number triangle of first kind.at n=10A051150
- a(n) = 5^n * n!.at n=4A052562
- Triangle of congrua: T(n,k) = 4*n*k(n^2-k^2) with n>k>0 and starting at T(2,1) = 24. A055096(n)^2 + a(n) is a square, as is A055096(n)^2 - a(n).at n=40A057103
- a(n) is the least number k such that prime(k) - 1 is divisible by 2^(n-1) and the quotient is odd.at n=15A057776