5504
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
- 16
- Divisor Sum
- 11220
- Proper Divisor Sum (Aliquot Sum)
- 5716
- 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
- 2688
- Möbius Function
- 0
- Radical
- 86
- Omega Function (Ω)
- 8
- 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
- 36
- 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
- Expansion of e.g.f. exp(-2*x)/(1-x).at n=8A000023
- Number of ways of writing n as a sum of 8 squares.at n=7A000143
- Number of stacks, or planar partitions of n; also weakly unimodal compositions of n.at n=18A001523
- Theta series of E_8 lattice with respect to deep hole.at n=6A004017
- Number of series-parallel networks with n labeled edges. Also called yoke-chains by Cayley and MacMahon.at n=5A006351
- Theta series of {D_8}* lattice.at n=7A008427
- Coordination sequence for Cr3Si, Si position.at n=19A009927
- Number of rational knots (or two-bridge knots) with n crossings (up to mirroring).at n=14A018240
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 1 mod 3}.at n=11A024223
- Numbers that are the sum of 4 nonzero squares in exactly 2 ways.at n=51A025358
- a(n) = (d(n) - r(n))/5, where d = A026037 and r is the periodic sequence with fundamental period (1,2,0,2,0).at n=41A026039
- 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 37.at n=19A031535
- Triangle of series-parallel numbers.at n=27A036654
- Triangle of series-parallel numbers.at n=26A036654
- Base-7 palindromes that start with 2.at n=30A043016
- Numbers whose base-7 representation contains exactly four 2's.at n=4A043404
- Pentagonal numbers multiplied by 2: a(n) = n*(3*n-1).at n=43A049450
- Numbers k such that phi(x) = k has exactly 10 solutions.at n=27A060673
- Number of ways of writing n as a sum of n+1 squares.at n=7A066536
- Let s(k) denote the k-th term of an integer sequence such that s(0)=0 and s(i) for all i>0 is the least natural number such that no four elements of {s(0),..,s(i)} are in arithmetic progression. Then it appears that there are many set of 3 consecutive integers in s(k). Sequence gives the smallest element in those triples.at n=26A071711