6370
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 14364
- Proper Divisor Sum (Aliquot Sum)
- 7994
- 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
- 2016
- Möbius Function
- 0
- Radical
- 910
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=48A001307
- 4-dimensional figurate numbers: a(n) = (6*n-2)*binomial(n+2,3)/4.at n=11A002419
- a(n) = n^2*(n^2 - 1)/6.at n=14A008911
- Expansion of 1/((1-x)(1-3x)(1-9x)(1-12x)).at n=3A021704
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = (natural numbers), t = (natural numbers >= 3).at n=39A024854
- Expansion of g.f. 1/((1-2*x) * (1-5*x) * (1-8*x) * (1-11*x)).at n=3A025999
- a(n) = dot_product(1,2,...,n)*(5,6,...,n,1,2,3,4).at n=23A026043
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=30A026044
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=50A026059
- Distinct even elements in 4-Pascal triangle A028275 (by row).at n=32A028282
- Elements to right of central elements in 4-Pascal triangle A028275 that are not 1.at n=51A028285
- Even elements to right of central elements in 4-Pascal triangle A028275.at n=26A028286
- Number of n-celled polyhexes (hexagonal polyominoes) without bilateral symmetry.at n=8A030226
- "BFK" (reversible, size, unlabeled) transform of 2,2,2,2...at n=17A032043
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=33A033568
- a(n) = f(n,n+5) where f is given in A034261.at n=5A034272
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=12A039624
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=16A045216
- Triangle read by rows, the Bell transform of n!*binomial(5,n) (without column 0).at n=33A049411
- Number of symmetric types of (3,2n)-hypergraphs under action of complementing group C(3,2).at n=26A055780