7760
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 18228
- Proper Divisor Sum (Aliquot Sum)
- 10468
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 0
- Radical
- 970
- Omega Function (Ω)
- 6
- 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
- 101
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n into at most 6 parts.at n=48A001402
- Coordination sequence for root lattice B_10.at n=2A022152
- a(n) is least k such that k and 6k are anagrams in base n (written in base 10).at n=10A023098
- Expansion of Molien series for 8-dimensional real Clifford group 2^{1+6}.Alt_8.2 of genus 3 and order 5160960.at n=45A024186
- Number of partitions of n in which the greatest part is 6.at n=54A026812
- Theta series of 6-dimensional lattice of det 8.at n=34A029543
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 11.at n=7A031689
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2) = k; sequence gives values of k.at n=32A048191
- Number of primitive (aperiodic) palindromic structures using exactly four different symbols.at n=17A056483
- Integer averages of two successive perfect powers (pp(n) + pp(n+1))/2.at n=21A075454
- Number of partitions of n into parts not greater than sqrt(n).at n=48A097356
- a(n) = (A097406(n) - 1)/n.at n=22A097407
- Coefficients of the D-Dyson mod 27 identity.at n=36A104504
- Row sums of correlation triangle for (1+x)^3/(1-x).at n=23A115293
- a(n) = 6*a(n-5) - a(n-10) + 98 with a(0)=0, a(1)=11, a(2)=35, a(3)=56, a(4)=104, a(5)=147, a(6)=204, a(7)=336, a(8)=455, a(9)=731.at n=16A118554
- Expansion of Sum_{k>=0} x^(k^2+k)/((1-x)(1-x^2)...(1-x^(2k))).at n=51A122134
- Expansion of f(x, -x^4) / phi(-x^2) in powers of x where f(, ) and phi() are Ramanujan theta functions.at n=47A122135
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 6 and 7.at n=20A136828
- 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), (0, 1, -1), (1, 0, 1)}.at n=11A148086
- Records in A001917.at n=18A152598