10512
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 29822
- Proper Divisor Sum (Aliquot Sum)
- 19310
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 438
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of ways of folding a 2 X n strip of stamps.at n=6A001415
- Discriminants of totally real quartic fields (see comments).at n=40A002769
- High-temperature coefficients for the internal energy for spin-1/2 Ising model on 4-d cubic lattice.at n=3A010572
- a(n) = 4*n*(2*n + 1).at n=36A033586
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=24A045946
- a(n+2) = (2n+3)*a(n+1) + (n+1)^2*a(n).at n=6A054768
- McKay-Thompson series of class 22B for Monster.at n=52A058568
- McKay-Thompson series of class 44A for Monster.at n=52A058679
- Number of homeomorphically irreducible general graphs on 3 labeled node and with n edges.at n=14A060578
- Numbers k > 1 such that, in base 4, k and k^2 contain the same digits in the same proportion.at n=43A061658
- Numbers k > 1 such that, in base 5, k and k^2 contain the same digits in the same proportion.at n=1A061659
- Numbers having exactly twelve anti-divisors.at n=37A066478
- Numbers k such that sigma(k^2 + 1) == 0 (mod k).at n=30A067719
- Arithmetic derivative of n*prime(n).at n=31A068981
- Convert the binary strings in A101305 to decimal.at n=4A104462
- a(n) = phi(Padovan(n+4)).at n=38A107797
- Number of top simplices in a minimal triangulation of the permutohedron.at n=5A111169
- In the "3x+1" problem, let 0 denote a halving step and 1 denote an x->3x+1 step. Then a(n) is obtained by writing the sequence of steps needed to reach 1 from 2n+1 and reading it as a decimal number.at n=5A125710
- Number of maximal directed trails in the labeled n-ladder graph P_2 X P_n.at n=37A135443
- 3 times 9-gonal (or nonagonal) numbers: a(n) = 3*n*(7*n-5)/2.at n=32A152759