5692
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9968
- Proper Divisor Sum (Aliquot Sum)
- 4276
- 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
- 2844
- Möbius Function
- 0
- Radical
- 2846
- 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
- 67
- 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
- Coordination sequence T2 for Zeolite Code DDR.at n=47A008072
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=3A020439
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=8A031818
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 1.at n=46A050057
- Numbers with no zeros in their cubes such that the products of the digits of their cubes are also cubes.at n=40A067071
- Expansion of 1/Product_{ n >= 2, n not of the form 2^k-1 } (1 - x^n).at n=49A078657
- Sum of the n-th row of A077339.at n=13A081929
- Male of (1/(n+1), n/(1+n)) pair function used to get a dual population Fibonacci.at n=21A100581
- 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=38A112994
- Number of free hexagonal polygons of symmetry class C_(2v) and area n.at n=13A120991
- 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, 0), (-1, 1, -1), (0, 0, 1), (0, 1, 0), (1, 0, -1)}.at n=8A149865
- Number of partitions of n containing a clique of size 5.at n=35A183562
- Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,2,1,3,4 for x=0,1,2,3,4.at n=15A196132
- Numerators of Integral_{x=0..Pi/2} sin(2*n*x)*log(cosec(x)) dx.at n=16A225122
- Record values in A032355 = number of connected transitive trivalent (or cubic) graphs with 2n nodes.at n=21A234719
- G.f. satisfies: A(x) = (1+x+x^2) * A(x^2)^2.at n=31A237651
- Expansion of -x*log'(-sqrt(12*x+2*sqrt(1-4*x)+2)/4+sqrt(1-4*x)/4+5/4).at n=9A239230
- Number of partitions of n such that (maximal multiplicity of parts) > (multiplicity of the least part).at n=36A240304
- Number of (n+2) X (3+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.at n=6A253505
- Number of (n+2)X(7+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.at n=2A253509