5244
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 8196
- 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
- 1584
- Möbius Function
- 0
- Radical
- 2622
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 103
- 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
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=42A002134
- Representation degeneracies for boson strings.at n=27A005293
- Coordination sequence T1 for Zeolite Code EUO.at n=45A008095
- Coordination sequence for MgCu2, Cu position.at n=18A009930
- Number of lines through exactly 2 points of an n X n grid of points.at n=13A018809
- a(n) = n*(29*n + 1)/2.at n=19A022287
- Perimeters of more than one primitive Pythagorean triangle.at n=5A024408
- n written in fractional base 8/5.at n=36A024647
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=39A025200
- a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026648.at n=12A026656
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 36.at n=33A031534
- Number of B-trees of order 4 with n leaves.at n=20A037026
- Denominators of continued fraction convergents to sqrt(844).at n=9A042629
- Number of basis partitions of n+16 with Durfee square size 4.at n=36A053798
- Number of nonisomorphic cyclic subgroups of the group A_n X A_n (where A_n is the alternating group of degree n).at n=40A062365
- Numbers that are sums of 2 or more consecutive squares in more than 1 way.at n=10A062681
- Expansion of e.g.f.: (1-exp(x/(x-1)))/(1-x).at n=7A087860
- Graham-Pollak sequence with initial term 5.at n=20A091522
- Counts where both the odd composites (starting from 1) 1 mod 4 and 3 mod 4 are equal.at n=4A093182
- Number of Catalan knight paths from (0,0) to (n,1) in the region between and on the lines y=0 and y=3. (See A096587 for the definition of Catalan knight.).at n=17A099329