5055
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8112
- Proper Divisor Sum (Aliquot Sum)
- 3057
- 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
- 2688
- Möbius Function
- -1
- Radical
- 5055
- Omega Function (Ω)
- 3
- 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
- 85
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(3*n^2 - 1)/2.at n=15A004188
- Number of 2-diregular digraphs with n nodes.at n=6A005641
- a(n) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6.at n=41A005709
- Coordination sequence T2 for Zeolite Code VET.at n=43A009903
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/23 ).at n=20A011933
- Bisection of A001400.at n=42A014125
- Expansion of 1/(1 - x^7 - x^8 - ...).at n=48A017901
- Coordination sequence T1 for Zeolite Code CZP.at n=46A019456
- Pseudoprimes to base 79.at n=26A020207
- a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.at n=46A020644
- n written in fractional base 10/5.at n=55A024660
- 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 23.at n=25A031521
- "BGK" (reversible, element, unlabeled) transform of 0,1,1,1,...at n=31A032060
- Numbers having three 5's in base 10.at n=5A043511
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n-1 <= 2^(p+1), with a(1) = 1, a(2) = 3, and a(3) = 4.at n=12A049978
- Number of points in N^n of norm <= 2.at n=19A055417
- Numbers which contain exactly the same digits (with the correct multiplicity) in 3 different smaller bases.at n=10A059828
- Numbers k such that k and its reversal are both multiples of 15.at n=10A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=6A062914
- Border sum triangle, read by rows: Let T(n,0)=T(n,n)=1. In general T(n,m) is the sum of the elements (apart from T(n,m) itself) in the border of the rectangle with vertices T(0,0), T(n-m,0), T(n,m) and T(m,m).at n=58A063394