5916
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 9204
- 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
- 1792
- Möbius Function
- 0
- Radical
- 2958
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 98
- 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 n-step self-avoiding walks on square lattice.at n=8A001411
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=69A017894
- a(n) = floor((3rd elementary symmetric function of 2,3,...,n+3)/(2+3+...+n+3)).at n=16A024178
- Number of distinct products ijk with 1 <= i,j,k <= n.at n=45A027425
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=34A027662
- Distinct even elements in the 5-Pascal triangle A028313.at n=41A028320
- Even elements to the right of the central elements of the 5-Pascal triangle A028313.at n=37A028321
- Number of distributive lattices; also number of paths with n turns when light is reflected from 8 glass plates.at n=5A030112
- 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 38.at n=40A031536
- "BGK" (reversible, element, unlabeled) transform of 1,0,1,0,...at n=50A032059
- Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=20A045613
- T(n,n+2), array T given by A047010.at n=7A047017
- Number of permutations on n letters that have only cycles of length 3 or less.at n=8A057693
- a(n) = round(log(n)*2^n/n).at n=14A065614
- a(n) = ceiling(log(n)*2^n/n).at n=14A065615
- Number of ternary squarefree necklaces.at n=34A066297
- Ordered product of the sides of primitive Pythagorean triangles divided by 60.at n=17A081752
- a(n) = Sum_{k=0..n-1} sigma(2k+1)*sigma_3(n-k).at n=7A081860
- Array A(x,y) giving the position of the y-th x in A080237 listed by rising antidiagonals.at n=58A085178
- Number of 5-tuples (v1,v2,v3,v4,v5) of nonnegative integers less than n such that v1 <= v5, v2 <= v5, v2 <= v4 and v3 <= v4.at n=7A085461