5108
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8946
- Proper Divisor Sum (Aliquot Sum)
- 3838
- 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
- 2552
- Möbius Function
- 0
- Radical
- 2554
- 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
- 59
- 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 ways of getting a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or nothing in 5-card poker.at n=4A002761
- Number of ways of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in 5-card poker.at n=5A002806
- Number of ways of getting a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair, no pair in poker.at n=3A002847
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=31A005735
- Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which generate a group of order six under binary matrix multiplication.at n=1A054468
- Nearest integer to Sum_{k=0..n} binomial(n,k)/2^(k*(k-1)/2).at n=43A079492
- A007318 * [1, 2, 2, 3, 2, 3, 2, 3, 2, ...].at n=11A133124
- Number of 7 X 7 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n.at n=10A156392
- Number of n X n arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to 10.at n=5A156452
- Apply partial sum operator thrice to sequence of squares of the first n primes.at n=7A157493
- Numbers k such that k$ + 1 is prime. Here '$' denotes the swinging factorial function (A056040).at n=54A163077
- Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n} having k adjacent blocks (0 <= k <= n). An adjacent block is a block of the form (i, i+1, i+2, ...).at n=46A177254
- Number of length n binary words that have at least one maximal run of 1's having length two.at n=12A177795
- Total number of possible standard knight moves on an n X 2n chessboard, if the knight is placed anywhere.at n=18A180319
- Ordered differences of distinct numbers k*(2^(k-1)).at n=38A205120
- Principal diagonal of the convolution array A213579.at n=11A213580
- Number of ways in which each hand can be obtained in a game of 5-card poker, starting with the most probable category.at n=5A216076
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,1.at n=17A222329
- Number of arrays of median of three adjacent elements of some length n+2 0..3 array, with no adjacent equal elements in the latter.at n=7A229007
- T(n,k) = number of arrays of median of three adjacent elements of some length n+2 0..k array, with no adjacent equal elements in the latter.at n=52A229012