8972
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15708
- Proper Divisor Sum (Aliquot Sum)
- 6736
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4484
- Möbius Function
- 0
- Radical
- 4486
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 47
- 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
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=36A000701
- Fibonacci sequence beginning 1, 5.at n=17A022095
- Number of partitions of n into an odd number of parts.at n=36A027193
- Number of proper factorizations of p1^n*p2^2, where p1 and p2 are distinct primes.at n=20A031125
- a(n) = floor(n^3 / e).at n=29A032636
- Number of partitions of n with equal number of parts congruent to each of 2 and 3 (mod 4).at n=43A035545
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=27A045083
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=40A045940
- Number of hierarchical orderings for n labeled elements with 2 possible classes A and B for levels l>=2. Labeled analog of A104460.at n=4A109092
- Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3 primes.at n=38A124057
- Omit the initial 1 from A000141 and take the Mobius transform.at n=32A190622
- Numbers that can be formed using its own digits in order and only addition and fourth power operators.at n=12A195672
- a(n) = A216951(n)/2.at n=31A216952
- Number of partitions of 2n of type EO (see Comments).at n=18A236559
- Values of x in the solutions to x^2 - 3xy + y^2 + 19 = 0, where 0 < x < y.at n=17A237133
- Number of n X 2 binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing.at n=47A266464
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 481", based on the 5-celled von Neumann neighborhood.at n=22A272457
- Numbers n that have an equal number of even and odd values of A001221(k) for 1 <= k <= n.at n=33A275547
- Numbers whose digit string can be partitioned into three nonempty parts a <= b <= c such that a*b = c.at n=43A280732
- Numbers whose digit string can be partitioned into three nonempty parts a < b <= c such that a*b = c.at n=35A280733