8876
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 6
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17808
- Proper Divisor Sum (Aliquot Sum)
- 8932
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3792
- Möbius Function
- 0
- Radical
- 4438
- Omega Function (Ω)
- 4
- 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
- 96
- 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
- Numbers that are the sum of 5 positive 7th powers.at n=19A003372
- Coefficients arising in the enumeration of configurations of linear chains.at n=11A038746
- Largest n-digit number with maximal multiplicative persistence A014553.at n=3A046150
- Numbers with multiplicative persistence value 6.at n=11A046515
- a(n) = T(n,n-4), array T as in A055801.at n=42A055804
- Non-balanced numbers in A015771.at n=14A078549
- Number of partitions of n such that the set of even parts has only one element.at n=41A090867
- a(n) = (5/6)*n^3+(5/2)*n^2+(8/3)*n.at n=21A092185
- Indices of primes in sequence defined by A(0) = 69, A(n) = 10*A(n-1) - 11 for n > 0.at n=9A101536
- Molien series for a certain 16-dimensional group of order 20160.at n=14A104993
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k columns ending at an odd level (0<=k<=n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=40A121697
- Expansion of b(q^2) * c(q^6) / (b(q) * c(q^3)) in powers of q where b(), c() are cubic AGM theta functions.at n=21A123629
- Fixed points of the permutation A087559.at n=23A131221
- Numbers k such that k and k^2 use only the digits 0, 3, 6, 7 and 8.at n=7A136943
- Numbers k such that k and k^2 use only the digits 1, 3, 6, 7 and 8.at n=6A137038
- Numbers k such that k and k^2 use only the digits 2, 3, 6, 7 and 8.at n=4A137088
- Numbers k such that k and k^2 use only the digits 3, 4, 6, 7 and 8.at n=7A137127
- Numbers k such that k and k^2 use only the digits 3, 5, 6, 7 and 8.at n=7A137132
- Numbers k such that k and k^2 use only the digits 3, 6, 7, 8 and 9.at n=12A137137
- 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, -1), (-1, -1, 1), (-1, 1, 0), (1, 0, -1), (1, 0, 0)}.at n=11A148023