4092
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
- 24
- Divisor Sum
- 10752
- Proper Divisor Sum (Aliquot Sum)
- 6660
- 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
- 1200
- Möbius Function
- 0
- Radical
- 2046
- 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
- 64
- 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
- Number of ways of writing n as a sum of 6 squares.at n=16A000141
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=29A000338
- a(n) = floor(n*phi^15), where phi is the golden ratio, A001622.at n=3A004930
- a(n) = round(n*phi^15), where phi is the golden ratio, A001622.at n=3A004950
- Coordination sequence T1 for Zeolite Code MEL.at n=41A008150
- Theta series of {D_6}* lattice.at n=32A008425
- Theta series of D_6 lattice.at n=8A008428
- Theta series of {D_6}^{+} lattice.at n=32A008434
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=33A011890
- Number of Barlow packings with group P63/mmc(O) that repeat after 4n+2 layers.at n=12A011947
- a(n) = 2*a(n-1) if n odd else 2*a(n-1) + 6.at n=10A014131
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DOH = Dodecasil 1H [Si34O68].qR starting with a T4 atom.at n=11A019115
- Numbers j such that sigma(sigma(j)) = k*j for some k.at n=23A019278
- Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (2,8)-perfect numbers.at n=3A019285
- Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (4,k)-perfect numbers.at n=36A019293
- Sum of n plus its prime factors associated with A020700.at n=17A020905
- Fibonacci sequence beginning 3, 9.at n=14A022379
- Convolution of composite numbers and (F(2), F(3), F(4), ...).at n=11A023649
- a(n) = 8^n - n.at n=4A024089
- Long leg of more than one primitive Pythagorean triangle.at n=35A024410