8856
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 25200
- Proper Divisor Sum (Aliquot Sum)
- 16344
- 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
- 2880
- Möbius Function
- 0
- Radical
- 246
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 140
- 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 series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=26A001860
- Number of equivalence classes of binary sequences of primitive period n.at n=20A002730
- Least positive integer k such that the fractional part of k*sqrt(5) has its n initial partial quotients all equal to 1.at n=9A004794
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=66A011913
- a(n) = C(n-1,1) + C(n-3,3) + ... + C(n-2*m-1,2*m+1), where m = floor((n-2)/4).at n=19A024490
- a(n) = (prime(n+2)^2 - 1)/3.at n=35A024700
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2,3; |s(i) - s(i-1)| <= 1 for i >= 4, s(n) = 4. Also a(n) = T(n,n-4), where T is the array defined in A026082.at n=8A026087
- 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 23.at n=35A031521
- Dirichlet convolution of triangular numbers with themselves.at n=47A034715
- Numbers having four 0's in base 6.at n=24A043372
- Sum of smallest parts of all partitions of n.at n=31A046746
- Mean divisor of n differs by <= 1 from mean divisor of all numbers from 1 to n-1.at n=18A049010
- Number of nonempty subsets of {1,2,3,...,n} whose elements have an integer average.at n=15A051293
- 16-gonal (or hexadecagonal) numbers: a(n) = n*(7*n-6).at n=36A051868
- Distribution of maximum inversion table entry.at n=32A056151
- Number of primitive (period n) step cyclic shifted sequences using exactly two different symbols.at n=20A056424
- McKay-Thompson series of class 39A for Monster.at n=44A058659
- a(n) = n*(13*n^2 - 7)/6.at n=16A062025
- Nonprimes which terminate in their sum of prime factors.at n=31A071173
- Triangle T(n,k) read by rows; related to number of preorders.at n=31A079502