10935
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19680
- Proper Divisor Sum (Aliquot Sum)
- 8745
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5832
- Möbius Function
- 0
- Radical
- 15
- Omega Function (Ω)
- 8
- 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
- 117
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 5 positive 7th powers.at n=20A003372
- Numbers of the form 3^i*5^j with i, j >= 0.at n=32A003593
- a(n) = 5*3^n.at n=7A005030
- a(0) = 1, a(n) = 13*n^2 + 2 for n>0.at n=29A010004
- Odd numbers k that divide phi(k)*sigma(k).at n=15A015706
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(3).at n=47A022769
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 1, -1, 1, 1.at n=23A025258
- a(n) = (2*n+1)*(11*n+1).at n=22A033575
- Numbers whose prime factors are 3 and 5.at n=18A033849
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*3^j.at n=23A038221
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*3^j.at n=25A038221
- Odd numbers divisible by exactly 8 primes (counted with multiplicity).at n=1A046321
- Numbers k that divide sigma(k) * phi(k) and are not divisible by 6.at n=40A047630
- Composites c whose decimal expansion ends with its largest prime factor.at n=29A050693
- Molien series for group H_{1,3}^{8} of order 2304.at n=33A051531
- Numbers k such that Sum_{j} p_j = Sum_{j} e_j where Product_{j} p_j^(e_j) is the prime factorization of k.at n=18A054411
- Numbers k such that k | 5^k + 4^k + 3^k + 2^k + 1^k.at n=39A056741
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n + 1^n.at n=41A056754
- Numbers n such that n | 6^n + 5^n + 4^n.at n=40A057235
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n.at n=47A057242