8920
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 11240
- 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
- 3552
- Möbius Function
- 0
- Radical
- 2230
- Omega Function (Ω)
- 5
- 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
- Number of Twopins positions.at n=15A005682
- Number of CdI_2 polytypes that repeat after 2n layers.at n=9A011958
- Numbers k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=33A015850
- Numbers k such that sigma(k) = sigma(k+12).at n=35A015882
- Coordination sequence for lattice D*_6 (with edges defined by l_1 norm = 1).at n=6A035472
- Gaps of 2 in sequence A038593 (upper terms).at n=13A038644
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=37A038853
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=11A038854
- One-fourth of fourth column of triangle A067304.at n=3A067307
- Numbers which when multiplied by any repunit prime Rp give a Smith number.at n=9A104167
- Number of permutations of length n which avoid the patterns 2314, 3124, 4312.at n=8A116816
- Number of binary sequences of length n with no initial repeats (or, with no final repeats).at n=14A122536
- Numbers k such that k and k+5 are 5-almost primes.at n=33A124942
- Avoiding the pattern 121'2'. To avoid 121'2' means not to have four consecutive letters such that the first letter is less than the second one and the third letter is less than the fourth one.at n=8A177471
- Number of binary sequences of length 2n-1 and curling number 1.at n=7A211965
- Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|<=n+|y-z|.at n=10A212690
- T(n,k)=Number of nXk 0..1 arrays with successive rows and columns fitting to straight lines with strictly increasing slope, with a single point array taken as having zero slope.at n=49A222898
- T(n,k)=Number of nXk 0..1 arrays with successive rows and columns fitting to straight lines with strictly increasing slope, with a single point array taken as having zero slope.at n=50A222898
- a(n) = 991*n^2 + 1.at n=3A237991
- Number of partitions p of n such that (number of numbers in p of form 3k) > (number of numbers in p of form 3k+1).at n=41A241745