3570
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
- 32
- Divisor Sum
- 10368
- Proper Divisor Sum (Aliquot Sum)
- 6798
- 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
- 768
- Möbius Function
- -1
- Radical
- 3570
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- 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
- 30
- 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
- a(0) = a(1) = 1; thereafter a(n) = sigma(a(n-1)) + sigma(a(n-2)).at n=11A000458
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 2.at n=16A001610
- Partial sums of squares of Lucas numbers.at n=7A005970
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=33A005993
- a(n) = n*(n+1)*(2*n+1)/3.at n=17A006331
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=35A006584
- Trails of length n on hexagonal lattice.at n=5A006818
- Number of (marked) cyclic n-bit binary strings containing no runs of length > 2.at n=16A007040
- Theta series of A_6 lattice.at n=8A008446
- a(n) = floor( n*(n-1)*(n-2)/11 ).at n=35A011893
- a(n) = floor(n*(n-1)*(n-2)/12).at n=36A011894
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/16).at n=17A011926
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=16A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=5A013593
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=42A014105
- Even triangular numbers.at n=42A014494
- Binomial coefficients C(n,83).at n=2A017747
- Binomial coefficients C(85,n).at n=2A017801
- a(n) is the concatenation of n and 2n.at n=34A019550
- Expansion of 1/((1-5*x)*(1-7*x)*(1-9*x)).at n=3A019943