6912
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 20440
- Proper Divisor Sum (Aliquot Sum)
- 13528
- 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
- 2304
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 11
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 119
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Generalized class numbers c_(n,1).at n=43A000233
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=43A000423
- Number of n X n symmetric matrices with (0,1) entries and all row sums 2.at n=7A000986
- Numbers n such that n / product of digits of n is a square.at n=15A001104
- Numbers k such that phi(sigma(k)) = k.at n=7A001229
- a(n) = n*(n+3)*2^(n-3).at n=8A001793
- Max_{k=0..n} { Number of partitions of n into exactly k parts }.at n=44A002569
- Glaisher's function U(n).at n=11A002612
- Coefficients of Chebyshev polynomials: n*(2*n-3)*2^(2*n-5).at n=4A002698
- Norm of a matrix.at n=6A004141
- Theta series of laminated lattice LAMBDA_10.at n=5A006909
- Numbers k such that phi(k) divides k.at n=54A007694
- Triangle of coefficients of Chebyshev polynomials T_n(x).at n=46A008310
- Molien series for A_10.at n=34A008633
- Number of partitions of n into at most 10 parts.at n=34A008639
- a(n) = Product_{i=0..6} floor((n+i)/7).at n=25A009641
- Multiply successively by 1 (once), 2 (twice), 3 (thrice), etc.at n=9A010552
- sinh(exp(x)-sec(x)) = x + 2/3!*x^3 - 4/4!*x^4 + 12/5!*x^5 - 120/6!*x^6 + ...at n=9A013333
- Triangle of coefficients in expansion of (1+12x)^n.at n=13A013619
- a(n) = (2*n - 5)n^2.at n=16A015240