10917
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
- 6
- Divisor Sum
- 15782
- Proper Divisor Sum (Aliquot Sum)
- 4865
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7272
- Möbius Function
- 0
- Radical
- 3639
- Omega Function (Ω)
- 3
- 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
- 161
- 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
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers whose base-2 representation has exactly 13 runs.at n=5A043580
- Number of conjugacy classes in the symmetric group S_n with distinct cardinality.at n=39A073906
- L-th order palindromes with L > 2.at n=0A089381
- Structured truncated icosahedral numbers.at n=8A100154
- Number of positive integers <= 10^n that are divisible by no prime exceeding 5.at n=18A106598
- Number DL's in all skew Dyck paths of semilength n.at n=8A128732
- Number of Proth primes: number of primes of the form 1 + k*2^n with k odd and k < 2^n.at n=17A134876
- Numbers k such that k and k^2 use only the digits 0, 1, 7, 8 and 9.at n=26A136880
- 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, 0), (-1, 1, 0), (0, 0, 1), (1, -1, 1), (1, 0, -1)}.at n=10A148107
- (n^3 - n + 15)/3.at n=31A155757
- Numbers k with property that the sum of 120 successive primes starting with prime(k) is a square.at n=0A166261
- Partial sums of Sum_{k=1..n} n/gcd(n,k), or partial sums of Sum_{d|n} d*phi(d) (see A057660).at n=34A174405
- Number of n X 3 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.at n=19A253218
- Numbers written in binary balanced system (A270885) that have exactly one zero.at n=46A270886
- Number of square multiset partitions of integer partitions of n.at n=17A320328
- Numbers k such that k + the sum of the 4th powers of the decimal digits of k is a square.at n=44A338235
- Number of integer partitions of n of even rank.at n=37A340601
- Number of integer partitions of n with no part dividing or divisible by all the others.at n=44A343342
- a(n) is the number of tilings of the Aztec diamond of order n using dominoes and square tetrominoes.at n=4A356512
- G.f. satisfies A(x) = 1 + x*A(x)^3 + x^3*A(x)^6.at n=7A367062