5404
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10864
- Proper Divisor Sum (Aliquot Sum)
- 5460
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- 0
- Radical
- 2702
- Omega Function (Ω)
- 4
- 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
- 160
- 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
- Restricted permutations.at n=13A000496
- Coordination sequence T3 for Zeolite Code CAS.at n=44A008065
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=32A015631
- Powers of fifth root of 4 rounded down.at n=31A018123
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=23A026060
- Numerators of continued fraction convergents to sqrt(768).at n=5A042480
- Starting index of a string of exactly 3 consecutive equal digits in decimal expansion of Pi.at n=38A049519
- Number of 11-core partitions of n.at n=47A053691
- Numbers k such that the period of the continued fraction for sqrt(3)*k is 2.at n=40A064933
- Number of one-sided n-celled polyzebras (or zebra-move-connected polyominoes).at n=5A093990
- Expansion of 1 / Product_{n>=0} (1 - q^(5n+1))*(1 - q^(5n+3))*(1 - q^(5n+4)).at n=46A107236
- Number of primes with digit sum n having at most n digits.at n=9A110742
- Number of prime parts in the last section of the set of partitions of n.at n=30A144120
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 1, 1), (0, -1, 0), (1, 1, 0)}.at n=8A149131
- G.f.: C(x)^2 - S(x)^2 where C(x) = Sum_{n>=0} log(1 - 2^(2n)*x)^(2n)/(2n)! and S(x) = Sum_{n>=0} -log(1 - 2^(2n+1)*x)^(2n+1)/(2n+1)! are the g.f.s of A166995 and A166996, respectively.at n=4A166997
- Numbers that take a record number of steps to appear in A181391.at n=40A171863
- Partial sums of A002893.at n=5A174123
- Triangle, read by rows, where row n equals the coefficients of y^k in R_{n-1}(y+y^2) for k=1..n where R_n(y) is the n-th row polynomial in y for n>1 with R_1(y)=y.at n=33A187005
- A diagonal of triangle A187005.at n=5A187007
- Number of n X 3 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.at n=6A208023