7658
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13152
- Proper Divisor Sum (Aliquot Sum)
- 5494
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3276
- Möbius Function
- -1
- Radical
- 7658
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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
- yes
- Odd
- no
Appears in sequences
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=47A000123
- Hexagonal prism numbers: a(n) = (n + 1)*(3*n^2 + 3*n + 1).at n=13A005915
- Molien series for A_9.at n=36A008632
- Coordination sequence for MgZn2, Position Zn2.at n=22A009938
- Theta series of A2[hole]^4.at n=26A033690
- T(n,n), array T as in A047150.at n=8A047152
- Number of tilings of the 8-dimensional zonotope constructed from D vectors.at n=3A060600
- Number of tilings of the d-dimensional zonotope constructed from d+3 vectors.at n=8A060602
- Nearest integer to (n+1)^3/9.at n=40A060999
- Potential Sierpiński numbers: integers for which the smallest m > 2^10 in A040076 such that n*2^m+1 is prime (A050921).at n=28A064721
- a(1)=1. a(n) = a(n-1) + sum of the triangular numbers which are among the first (n-1) terms of the sequence.at n=23A100963
- Numbers whose cubes are exclusionary: numbers k such that k has no repeated digits and k and k^3 have no digits in common.at n=41A112994
- Largest number whose n-th power is exclusionary (or 0 if no such number exists).at n=1A113951
- Zero followed by partial sums of A008865.at n=28A145067
- Number of planar n X n X n binary triangular grids with no more than 3 ones in any similarly oriented 3 X 3 X 3 subtriangle.at n=5A153552
- The number of subsets of the numbers {1,2,3...,n} consisting of at most 3 elements and at most two of those are even.at n=37A204555
- A restricted class of multiple edge-free maps on n edges.at n=10A220900
- Number of nondecreasing -n..n vectors of length 3 whose dot product with some other -n..n vector equals 3.at n=17A226342
- Expansion of (b(q) * c(q^3) / 3)^2 in powers of q where b(), c() are cubic AGM theta functions.at n=39A242042
- Triangle read by rows: number of idempotent basis elements of rank k in partition monoid P_n.at n=42A256042