7611
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10560
- Proper Divisor Sum (Aliquot Sum)
- 2949
- 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
- 4872
- Möbius Function
- -1
- Radical
- 7611
- 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
- 132
- 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
- no
- Odd
- yes
Appears in sequences
- Coefficients of modular function G_4(tau).at n=27A005762
- Expansion of 1/((1-7*x)*(1-8*x)*(1-12*x)).at n=3A020969
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 87.at n=6A031585
- Number of compositions (ordered partitions) of n into distinct parts >= 2.at n=30A032022
- Number of homeomorphically irreducible general graphs on 3 labeled node and with n edges.at n=13A060578
- Gives an LCD representation of n.at n=33A071843
- Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 33 for n > 0.at n=22A101005
- Coefficients in a q-analog of the function [LambertW(-2x)/(-2x)]^(1/2) at q=2.at n=4A152552
- a(n) = number of 7-digit primes with digit sum n, where n runs through the non-multiples of 3 in the range [2..62].at n=30A178876
- Number of (n+1) X (5+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=14A253394
- Positions of squares in A276573.at n=31A277014
- Number of terms in the fully expanded n-th derivative of x^(x^x).at n=22A281434
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 718", based on the 5-celled von Neumann neighborhood.at n=12A283705
- Numbers k such that 2*10^k - 43 is prime.at n=16A289753
- Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=7A302424
- Number of factorizations of 2^n into factors > 1 with integer average.at n=41A326667
- Products p*q*r of three distinct primes such that (p*q) mod r, (p*r) mod q and (q*r) mod p are all prime.at n=8A338704
- Triangle of coefficients in g.f. A(x,y) which satisfies: A(x,y) = Sum_{n>=0} x^n/(1 - x*y*A(x,y)^(2*n)).at n=40A340934
- Central terms of triangle A340934.at n=4A340936
- a(n) = (n-1)*(4*n+1).at n=43A343560