5666
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8502
- Proper Divisor Sum (Aliquot Sum)
- 2836
- 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
- 2832
- Möbius Function
- 1
- Radical
- 5666
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 129
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Coordination sequence T2 for Zeolite Code FER.at n=46A008107
- 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 74.at n=13A031572
- a(1) = 1, a(m+1) = 2*Sum_{k=1..floor((m+1)/2)} a(k).at n=49A039722
- a(1) = 1, a(m+1) = 2*Sum_{k=1..floor((m+1)/2)} a(k).at n=50A039722
- Numbers having three 6's in base 10.at n=5A043515
- Beastly (or hateful) numbers: numbers containing the string 666 in their decimal expansion.at n=5A051003
- Number of terms of the fractional part of A030168 for which the geometric mean produces increasingly better approximations to Khinchin's constant.at n=21A059102
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=30A091332
- Sum of largest parts (counted with multiplicity) of all partitions of n into odd parts.at n=31A092310
- Numbers n such that 4*10^n + 3*R_n + 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=16A102990
- Near-repdigit semiprimes with 6 as repeated digit.at n=10A105987
- Difference between the n-th partial sum of the squares (A000330) and the n-th partial sum of the primes (A007504).at n=26A108753
- Nondecreasing sequence of integers where each digit d is part of a group of d identical digits.at n=71A113764
- Number of returns to the x-axis in all hill-free Schroeder paths of length 2n+4. A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A hill is a peak at height 1.at n=5A114693
- n times n+7 gives the concatenation of two numbers m and m+4.at n=2A116319
- a(n) = 121*n^2 - 38*n + 3.at n=6A157443
- Triangle T(n,k) which contains 16*n!*2^floor((n+1)/2) times the coefficient [t^n x^k] exp(t*x)/(15 + exp(8*t)) in row n, column k.at n=15A171685
- Number of strings of numbers x(i=1..5) in 0..n with sum i^3*x(i) equal to 125*n.at n=27A184260
- Numbers k such that 3^k - 32 is prime.at n=13A219049
- Numbers m such that (2m)! - m! + 1 is prime.at n=5A237443