3744
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 11466
- Proper Divisor Sum (Aliquot Sum)
- 7722
- 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
- 1152
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 25
- 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
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=39A000566
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=38A001239
- 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=3A002761
- 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=6A002806
- Number of ways of getting a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair, nothing in a 3-card poker hand.at n=7A002834
- 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=2A002847
- Number of graphs with n nodes, n-2 edges and no isolated vertices.at n=10A006647
- Coordination sequence T5 for Zeolite Code HEU.at n=40A008120
- Floor-factorial numbers: a(n) = Product_{k=1..n} floor(n/k).at n=13A010786
- Number of segments created by diagonals of n-gon.at n=13A014629
- Even heptagonal numbers (A000566).at n=19A014640
- Values of n where (phi(n) * sigma(n))/n is an integer and increases.at n=46A015707
- Sum of n plus its prime factors associated with A020700.at n=16A020905
- Fibonacci sequence beginning 0, 26.at n=12A022360
- a(n) = Sum_{k=0..floor(n/2)-1} T(n,k) * T(n,k+2), with T given by A026009.at n=6A027289
- Coordination sequence T1 for Zeolite Code SAT.at n=44A027373
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=29A029458
- Concatenation of n and n+7.at n=36A032612
- Numbers each of whose runs of digits in base 12 has length 2.at n=22A033010
- Every run of digits of n in base 15 has length 2.at n=22A033013