10664
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21120
- Proper Divisor Sum (Aliquot Sum)
- 10456
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 2666
- Omega Function (Ω)
- 5
- 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
- 117
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Integer part of ((4th elementary symmetric function of 2,3,...,n+4)/(2nd elementary symmetric function of 2,3,...,n+4)).at n=23A024181
- a(n) = Sum{T(i,j)}, 0<=j<=i, 0<=i<=n, T given by A026552.at n=10A026566
- Number of 5-balanced strings of length n: let d(S)= #(1)'s in S - #(0)'s, then S is k-balanced if every substring T has -k<=d(T)<=k; here k=5.at n=14A027560
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,2.at n=5A037483
- a(n) = Sum_{k=1..n} d(k)*prime(k), where d(k) = A001223.at n=33A064009
- Integers i > 1 for which there is no prime p such that i is a solution mod p of x^4 = 2.at n=19A065903
- Numbers k such that phi(k) divides sigma(k+1) + sigma(k).at n=48A067246
- Smallest integer >= 0 of the form x^4 - n^3.at n=37A070928
- Numbers n such that A083356(n) (the total area of all incongruent integer-sided rectangles of area <= n) is a square.at n=6A083357
- Positive square-root of terms of the self-convolution of A087150.at n=31A087151
- Numbers m not of the form k*(k+2) that have a single '1' in the periodic part of the continued fraction of sqrt(n).at n=35A102538
- Sums of three consecutive heptagonal numbers.at n=37A129111
- 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, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, -1)}.at n=8A149953
- First of two consecutive numbers with at least one 3 in their prime signature.at n=53A176313
- The maximum integer dimension in which the volume of the hypersphere of radius n remains larger than 1.at n=24A177677
- [s(k)-s(j)]/7, where the pairs (k,j) are given by A205862 and A205863, and s(k) denotes the (k+1)-st Fibonacci number.at n=38A205865
- G.f. satisfies: A(x) = 1 + x/A(-x*A(x)^5)^2.at n=7A213095
- Numbers of the form x^3 + SumOfCubedDigits(x).at n=22A225051
- Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A238148
- Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=0A238150