5708
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9996
- Proper Divisor Sum (Aliquot Sum)
- 4288
- 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
- 2852
- Möbius Function
- 0
- Radical
- 2854
- 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
- 28
- 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
- Molien series for A_9.at n=34A008632
- Molien series for A_11.at n=32A008634
- Number of partitions of n into at most 9 parts.at n=34A008638
- Number of partitions of n into at most 11 parts.at n=32A008640
- Number of partitions of n into 9 unordered relatively prime parts.at n=34A023029
- a(n+1) = a(n) converted to base 8 from base 7 (written in base 10).at n=33A023388
- Number of partitions of n in which the greatest part is 9.at n=43A026815
- Smallest composite that when added to sum of prime factors reaches a prime after n iterations.at n=27A050710
- Integer part of log(n^n)^(1 + log(log(1 + n))).at n=19A062479
- Triangle read by rows: For n >= 0, k >= 0, T(n,k) is the number of permutations pi of n such that the total distance Sum_i abs(i-pi(i)) = 2k. Equivalently, k = Sum_i max(i-pi(i),0).at n=52A062869
- Bisection of A088567.at n=48A088585
- Bond series for second parallel moment of 4.8 (bathroom tile) lattice.at n=14A120555
- Number of imprimitive transitive permutation groups of degree n.at n=29A132221
- Smallest positive integer of the form 3k+2 such that all subsets of {a(1),...,a(n)} have a different sum.at n=12A139218
- The number of unigraphical partitions of 2m; that is, the number of partitions of 2m which are realizable as the degree sequence of one and only one graph (where loops are not allowed but multiple edges are allowed).at n=29A143981
- Sum of n and floor of each previous term divided by its distance from n.at n=16A180086
- Numbers k such that 6^k - 7 is prime.at n=23A217352
- Number of 6 X 6 0..n matrices with each 2 X 2 subblock idempotent.at n=22A224668
- Number of arrays of length 3 that are sums of n consecutive elements of length 3+n-1 permutations of 0..3+n-2.at n=10A229566
- Numbers of espalier polycubes of a given volume in dimension 5.at n=18A229925