10661
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12192
- Proper Divisor Sum (Aliquot Sum)
- 1531
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9132
- Möbius Function
- 1
- Radical
- 10661
- 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
- 55
- 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
- Expansion of 1/((1-2x)(1-3x)(1-5x)(1-6x)).at n=4A025930
- Numbers whose maximal base-9 run length is 4.at n=20A037999
- Numerators of continued fraction convergents to sqrt(989).at n=5A042914
- Numbers having four 5's in base 9.at n=1A043476
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=30A045104
- a(n) = n*(n^2 - 6*n + 11)/6.at n=42A050407
- Centered 13-gonal numbers.at n=40A069126
- Expansion of (1+4x^2)/(1-x-16x^5).at n=14A098526
- a(n) = a(n-1) + 2*a(n-2) + 3*a(n-3), for n>3, otherwise a(n) = n.at n=12A100550
- Semiprimes in A054552.at n=18A113690
- Minimum over all permutations b of 1..n of sum b(i)*b^{-1}(i).at n=38A118375
- Number of distinct values taken by the entropy for permutations of [1..n], where the entropy of a permutation pi is Sum_{k=1..n} (pi(k)-k)^2.at n=40A126972
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 111-110-111 pattern in any orientation.at n=11A146281
- Numbers k that divide the sum of digits of 13^k.at n=32A175525
- Potential magic constants of 7 X 7 magic squares composed of consecutive primes.at n=29A188536
- Number of prime dissections of an n X n square into integer-sided squares.at n=5A221845
- Number of partitions p of n such that median(p) < mean(p).at n=33A240217
- Row sums of triangle A027420.at n=42A241944
- a(n) is the total multiplicity of all products of Schur functions s(lambda)*s(mu) with partition lambda >= mu and size(lambda) + size(mu)= n.at n=13A296624
- G.f. A(x) satisfies: A(x) = x * exp(Sum_{k>=1} (A(x^k) + sigma_2(k)*x^k)/k).at n=9A307976