12559
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13240
- Proper Divisor Sum (Aliquot Sum)
- 681
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11880
- Möbius Function
- 1
- Radical
- 12559
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 107
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(11*n^2 - 5)/6.at n=19A004467
- Crystal ball sequence for A_6 lattice.at n=4A008388
- a(n) = floor(exp(21/23) * n!).at n=6A030808
- Denominators of continued fraction convergents to sqrt(762).at n=10A042469
- Number of positive integers <= 2^n of form 3 x^2 + 6 y^2.at n=17A054163
- Table of crystal ball sequences for A_n lattices read by antidiagonals.at n=61A099608
- Square array, read by antidiagonals, where row n equals the crystal ball sequence for the A_n lattice.at n=59A108625
- Coefficient (times -1) of the 1/r^(2n) term in the radial far-field expansion of the squared amplitude of a unit topological point charge (-1 or +1 vortex) in the two-dimensional Ginzburg-Landau equation.at n=4A110818
- Number of 3D matrices with positive integer entries such that sum of all entries equals n.at n=11A159297
- 1+5*n+7*n^2.at n=41A168235
- Semiprime centered triangular numbers.at n=35A184481
- a(n) = 8*n^2 - 6*n - 1.at n=39A194431
- Number of times n consecutively appears in A218461.at n=12A218532
- Number of partitions p of n such that median(p) < multiplicity(max(p)).at n=51A240207
- Crandall numbers: (2/Pi)^4 Integral_{t>=0} ([Pi I_0(t)]^2 - [K_0(t)]^2) I_0(t) [K_0(t)]^5 (2t)^(2n-1) dt.at n=5A262961
- a(n) is the smallest number k such that the sum of k consecutive prime numbers starting with the n-th prime is a square.at n=53A358156
- a(n) = A108625(3*n, 2*n).at n=2A363869
- G.f. satisfies A(x) = ( 1 + x / (1 - x*A(x)^3)^2 )^2.at n=6A371615
- Squarefree semiprimes that are centered triangular numbers.at n=32A380913