7638
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16320
- Proper Divisor Sum (Aliquot Sum)
- 8682
- 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
- 2376
- Möbius Function
- 1
- Radical
- 7638
- Omega Function (Ω)
- 4
- 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
- 31
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 convex polygons of length 2n on honeycomb, or EG-convex polyominoes.at n=13A006743
- Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.at n=31A046963
- McKay-Thompson series of class 39A for Monster.at n=43A058659
- Add column entries of the table with rows (1,2,0,0...), (0,3,4,5,0,0...), (0,0,6,7,8,9,0,0...), (0,0,0,10,11,12,13,14,0,0...), ...at n=35A064694
- Number of partitions of n such that the least part occurs exactly three times.at n=42A097091
- phi(n) plus the n-th prime gives a square.at n=29A116021
- Sum of parts, counted without multiplicities, in all partitions of n into odd parts.at n=31A116930
- Numbers n such that every digit occurs at least once in n^3.at n=26A119735
- 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, 0, 1), (-1, 1, 1), (0, 1, -1), (1, -1, 1), (1, 0, 0)}.at n=8A148876
- a(n) = (2*n^3 + 5*n^2 - 13*n)/2.at n=18A162262
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-k has order 25.at n=7A179139
- Expansion of Product_{i>=1} (1 + x^(2*i + 1))/(1 - x^(2*i + 1)).at n=53A207944
- Arises from color-symmetrized counting of tensor invariants.at n=7A232208
- 2n concatenated with n.at n=37A235497
- Triangle T(n,k): number of ways of partitioning the n-element multiset {1,1,2,3,...,n-1} into exactly k nonempty parts, n>=1 and 1<=k<=n.at n=62A241500
- a(n) = n*(7*n^2 + 15*n + 8)/6.at n=18A245301
- Number of reduced rearrangement patterns with n blocks.at n=6A271214
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 643", based on the 5-celled von Neumann neighborhood.at n=17A273314
- Partial sums of A301678.at n=54A301679
- a(n) = 9*n^2 + 21*n - 6 (n>=1).at n=27A304374