5066
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8100
- Proper Divisor Sum (Aliquot Sum)
- 3034
- 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
- 2368
- Möbius Function
- -1
- Radical
- 5066
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 33
- 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
- yes
- Odd
- no
Appears in sequences
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=30A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=30A000451
- Coordination sequence T2 for Zeolite Code BIK.at n=43A008048
- Number of partitions of n into at most 8 parts.at n=35A008637
- If a, b in sequence, so is ab+6.at n=45A009307
- a(n) = Sum_{k=1..n} ceiling(k^4/n).at n=11A014816
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=33A015993
- Number of partitions of n into divisors of n.at n=69A018818
- Number of partitions of n into 8 unordered relatively prime parts.at n=35A023028
- a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.at n=28A025414
- Least sum of 3 distinct nonzero squares in exactly n ways.at n=28A025415
- Number of partitions of n in which the greatest part is 8.at n=43A026814
- a(n) = A047881(n) / 2.at n=29A047882
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049723.at n=28A049725
- Euler transform of Pascal's triangle A007318.at n=60A055375
- McKay-Thompson series of class 38A for Monster.at n=39A058657
- Sums of nonconsecutive factorial numbers.at n=28A060112
- Positions of the permutations which have the same rank in A055089 and A060118, i.e., the fixed points of permutations A060120 and A060127.at n=43A060133
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=23A063346
- Numbers which need 12 'Reverse and Add' steps to reach a palindrome.at n=33A065217