10787
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13056
- Proper Divisor Sum (Aliquot Sum)
- 2269
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8712
- Möbius Function
- -1
- Radical
- 10787
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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
- Denominators of expansion of sinh x / sin x.at n=33A006656
- Number of partitions of n into an odd number of parts, the least being 4; also, a(n+4) = number of partitions of n into an even number of parts, each >=4.at n=68A027190
- Expansion of 1/((1-2x)(1-6x)(1-11x)(1-12x)).at n=3A028004
- Shifts left under "DIJ" (bracelet, indistinct, labeled) transform, with a(1) = 1.at n=7A032271
- Sum of smallest parts of all partitions of n.at n=32A046746
- Numerators of coefficients in function a(x) such that a(a(a(x))) = log (1+x).at n=8A052138
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 8 (most significant digit on right).at n=20A061937
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=20A063048
- Numbers k such that the largest prime factor of k is equal to the sum of primes dividing k+1 (with repetition).at n=13A071861
- Greatest common divisor of 2^n-1 and 3^n-1.at n=65A086892
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=21A088753
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 67, the third irregular prime.at n=11A093059
- A086892(11*n).at n=5A141460
- a(n) = Sum of terms in A062901 which are below 10^n.at n=3A141835
- 7 times octagonal numbers: a(n) = 7*n*(3*n-2).at n=23A153797
- a(n) = A027762(n)/A165734(n).at n=32A165949
- a(0)=1, a(n)=A002445(n)/6 for n>=1.at n=33A177735
- Union of A071863 and A071861.at n=40A193458
- G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2*n} C(2*n,k)^2 * x^k * A(x)^k]* x^n/n ).at n=7A199257
- Number of (w,x,y,z) with all terms in {1,...,n} and w=x+2y+3z-n.at n=41A212254