5808
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 16492
- Proper Divisor Sum (Aliquot Sum)
- 10684
- 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
- 1760
- Möbius Function
- 0
- Radical
- 66
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 49
- 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
- Length of n-th term in Look and Say sequences A005150 and A007651.at n=30A005341
- Conjectured formula for irreducible 6-fold Euler sums of weight 2n+16.at n=22A019459
- a(n) = T(2n,n-2), T given by A027157.at n=4A027160
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 23 (most significant digit on left).at n=20A029492
- a(1) = 1, a(2) = 16, a(n) = lcm(48, 2n^2) for n>2.at n=10A032444
- a(1) = 1, a(2) = 16, a(n) = lcm(48, 2n^2) for n>2.at n=21A032444
- a(n) = 3*n^2.at n=44A033428
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 4 (mod 5).at n=41A035565
- Number of partitions of n into parts not of the form 11k, 11k+5 or 11k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=36A035948
- Composite numbers divisible by the palindromic sum of their prime factors (counted with multiplicity).at n=15A046358
- Composite numbers divisible by the palindromic sum of their palindromic prime factors (counted with multiplicity).at n=8A046366
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 4).at n=58A046766
- Octahedral torus number: a(n) = n^2 + 2*(Sum_{k=1..n-1} k^2) - 2*(floor((n+1)/2)^2 + 2*(Sum_{k=1..floor((n+1)/2)-1} k^2)) + (1 - (-1)^n)/2.at n=22A050442
- Numbers k such that phi(k) = phi(k - phi(k)).at n=28A051487
- a(n) is the cototient of n^3.at n=21A053192
- Linear recursion with Catalan numbers.at n=6A053369
- Number of singular points on n-th order Chmutov surface.at n=24A057870
- Numbers which are the sum of their proper divisors containing the digit 9.at n=15A059468
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=16A060665
- Numbers from A066112 that are neither square nor twice a square, i.e., are not in A028982 but are in A028983.at n=23A066134