7156
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12530
- Proper Divisor Sum (Aliquot Sum)
- 5374
- 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
- 3576
- Möbius Function
- 0
- Radical
- 3578
- 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
- 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
- Diagonal sum of left justified array T given by A027082.at n=24A027100
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=2A031832
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049747.at n=35A049750
- Number of 3-rowed binary matrices with n ones and no zero columns, up to row and column permutation.at n=24A058053
- McKay-Thompson series of class 21D for Monster.at n=21A058566
- Number of self-avoiding walks on the cubic lattice trapped after n steps.at n=4A077817
- An Alexander sequence for the knot 8_2.at n=12A099844
- Integers k such that 10^k - 33 is prime.at n=24A108364
- Diagonal sums of number triangle A109974.at n=14A109976
- Minimal value of sum(p(i)p(i+1),i=1..n), where p(n+1)=p(1), as p ranges over all permutations of {1,2,...,n}.at n=33A110611
- Triangle T, read by rows, where the g.f. of row n of T^n = (n^2 + y)^n for 0 <= n <= 29, where T^n denotes the n-th power of T considered as (lower-left) matrix.at n=10A132870
- Column 0 of triangle A132870 (first 30 terms only).at n=4A132872
- Denominators of the convergents of the continued fraction for L(2, chi3), where L(s, chi3) is the Dirichlet L-function for the non-principal character modulo 3.at n=12A153068
- The Wiener index of the graph \|/_\/_\/_..._\/_\|/ having n nodes on the horizontal path.at n=13A180571
- Number of strings of numbers x(i=1..5) in 0..n with sum i^4*x(i) equal to 625*n.at n=44A184351
- Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n.at n=40A219965
- McKay-Thompson series of class 21D for the Monster group with a(0) = 2.at n=21A226015
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^49 is prime.at n=33A244388
- Numbers n such that the smallest prime divisor of n^2+1 is 97.at n=27A248552
- 10-step Fibonacci sequence starting with 0,0,1,0,0,0,0,0,0,0.at n=23A251765