7008
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 18648
- Proper Divisor Sum (Aliquot Sum)
- 11640
- 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
- 2304
- Möbius Function
- 0
- Radical
- 438
- Omega Function (Ω)
- 7
- 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
- 57
- 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
- a(n) = (1/3)*(n^2 + 2*n + 3)*(n+1)^2.at n=11A014820
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BRE = Brewsterite (Sr,Ba)2[Al4Si12O32].10H2O starting with a T2 atom.at n=12A019086
- 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 41.at n=29A031539
- McKay-Thompson series of class 33B for Monster.at n=35A058637
- A hierarchical sequence (S(W'3{2,2}cc) - see A059126).at n=2A059158
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=18A063370
- A transform of the Fibonacci numbers.at n=52A099505
- Integer part of Gauss's Arithmetic-Geometric Mean M(1,n^3).at n=37A127759
- Numbers of the form 4x^3y+4y x^3 (where x,y are positive integers).at n=29A135796
- Twice nonagonal numbers (or twice 9-gonal numbers): a(n) = n*(7*n-5).at n=32A139268
- A090801(2n-1)+A090801(2n).at n=20A140958
- Numbers n with property that 4 n^2 are squares arising in A158470.at n=22A158517
- Molecular topological indices of the cycle graphs.at n=23A192797
- Number of rooted planar binary unlabeled trees with n leaves and caterpillar index >= 5.at n=11A214204
- Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 4 array.at n=9A219700
- Expansion of phi(x)^2 / phi(-x^2) in powers of x where phi() is a Ramanujan theta function.at n=27A260314
- Triangle read by rows: T(n,m) = number of beta-labeled graphs of size n and order m (n>=1, 2<=m<=n+1).at n=35A261685
- Numbers n such that 2*Fibonacci(n+2)+((-1)^n-3)/2 is a prime.at n=30A271729
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 902", based on the 5-celled von Neumann neighborhood.at n=31A273760
- 4-untouchable numbers.at n=33A284156