6612
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 10188
- 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
- 2016
- Möbius Function
- 0
- Radical
- 3306
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 93
- 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
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=58A011910
- Quadruples of different integers from [ 2,n ] with no common factors between triples.at n=23A015629
- a(n) = n*(23*n - 1)/2.at n=24A022280
- Divide even numbers into groups with prime(n) elements and add together.at n=9A034959
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=19A045946
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049723.at n=22A049726
- Moments of generalized Motzkin paths.at n=14A053442
- Total number of nodes in all trees with n nodes.at n=11A055543
- Numbers which are the sum of their proper divisors containing the digit 0.at n=42A059461
- Numbers k such that phi(x) = k has exactly 7 solutions.at n=39A060670
- Numbers k such that k and its reversal are both multiples of 19.at n=21A062907
- Non-palindromic number and its reversal are both multiples of 19.at n=12A062916
- 4 times hexagonal numbers: a(n) = 4*n*(2*n-1).at n=29A085250
- Largest member of the n-th row of the triangular triangle (A093445).at n=31A093446
- Generalized Motzkin paths with no hills and 4-horizontal steps (even coefficients).at n=8A099171
- a(n) = Sum_{k=1..n} binomial(n-1, k-1)*A008292(n, k) for n >= 1.at n=5A104098
- Numbers whose anti-divisors sum to a prime.at n=36A109350
- Multiples of 12 containing a 12 in their decimal representation.at n=37A121032
- Generator for the finite sequence A053016.at n=28A136254
- Numbers n for which (4+n!)/4 is prime.at n=18A139061