12600
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
- 72
- Divisor Sum
- 48360
- Proper Divisor Sum (Aliquot Sum)
- 35760
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 4
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
- 63
- 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
- Lah numbers: a(n) = n!*binomial(n-1,2)/6.at n=6A001754
- Denominators of coefficients for numerical differentiation.at n=8A002548
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=38A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=38A002706
- Expansion of 1 / (Sum_{n=-oo..oo} x^(n^2))^5.at n=6A004406
- a(n) = n^2*(n^2 - 1)/4.at n=15A006011
- Series for second parallel moment of hexagonal lattice.at n=6A006741
- Denominators of expansion of exp x / sin x.at n=7A007451
- Theta series of A_6 lattice.at n=17A008446
- Expansion of e.g.f. sinh(arctanh(x) + log(x+1)).at n=7A013161
- ((n+3)!/6)*product( 2*k+1, k=0..n).at n=3A014130
- Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.at n=32A020342
- Multinomial coefficients (0, 1, ..., n)! = C(n+1,2)!/(0!*1!*2!*...*n!).at n=4A022915
- a(n) = 7*(n+1)*binomial(n+2,14).at n=2A027787
- a(n) = (1/4)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2)*floor((n-3)/2).at n=32A028723
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=42A033701
- For all n, if d is recursively applied to a(n) exactly 6 times then the fixed point of d-iteration is just reached.at n=10A036458
- Smallest number that is palindromic (with at least 2 digits) in n bases.at n=37A037183
- Triangle of rooted planar maps, read by rows.at n=39A046652
- Triangle giving coefficients of (n+1)!*B_n(x), where B_n(x) is a Bernoulli polynomial. Rising powers of x.at n=25A048998