10569
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15232
- Proper Divisor Sum (Aliquot Sum)
- 4663
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- -1
- Radical
- 10569
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of permutations of (1,...,n) having n-7 inversions (n>=7).at n=6A005285
- Fibonacci sequence beginning 1, 6.at n=17A022096
- a(n) = [ 3rd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=16A025203
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 68.at n=32A031566
- Main diagonal of the Stolarsky array.at n=12A035489
- Expansion of 1/((1+x)*(1-2*x+2*x^2-2*x^3)).at n=23A052942
- Column 3 of the array in A107735.at n=6A107734
- Array read by antidiagonals: A(n,k) = Verlinde numbers for quasiparabolic bundles (n >= 3, k >= 0).at n=48A107735
- Column 1 of triangle A128564; a(n) equals the number of permutations of {1..n+2} with [n/2+1] inversions for n>=0.at n=11A128565
- a(n) = n*(7*n-2).at n=39A135703
- Ceiling(4*Pi*n^2).at n=28A135971
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 1, -1), (1, -1, 0), (1, 1, 1)}.at n=8A149521
- Number of reduced words of length n in the Weyl group A_12.at n=6A161461
- The number of 0's in the n-th stage of A164349.at n=14A164362
- a(n) = 12*n^2 - 8*n + 9.at n=29A167585
- Coefficients of polynomials described below.at n=44A174531
- Opmanis's sequence: a(n) is the smallest integer k such that k or one of its nonzero substrings (regarded as an integer) is divisible by every integer in the range 1 through n.at n=15A177834
- Principal diagonal of the convolution array A213838.at n=12A213839
- Numbers appearing in A214208 excluding powers 2^i with i>0.at n=13A214209
- Values of x in the solutions to x^2 - 3xy + y^2 + 29 = 0, where 0 < x < y.at n=17A218735