3564
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
- 30
- Divisor Sum
- 10164
- Proper Divisor Sum (Aliquot Sum)
- 6600
- 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
- 1080
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- Smith Number
- yes
- 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
- Degrees of irreducible representations of alternating group A_12.at n=35A003867
- Degrees of irreducible representations of symmetric group S_12.at n=65A003876
- Degrees of irreducible representations of symmetric group S_12.at n=64A003876
- a(n) = (n^3 + 2*n)/3.at n=22A006527
- Coordination sequence T1 for Zeolite Code DAC.at n=38A008067
- Coordination sequence for CaF2(1), Ca position.at n=20A009923
- Theta series of lattice Kappa_10.at n=4A015232
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=41A015632
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=31A015708
- Sum of n plus its prime factors associated with A020700.at n=15A020905
- Convolution of A001950 with itself.at n=13A023667
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence).at n=17A024474
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence).at n=16A025094
- A convolution triangle of numbers obtained from A036068.at n=24A030524
- a(n) = 11*n^2.at n=18A033584
- Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 4).at n=36A035544
- Number of partitions of 2n with equal number of parts congruent to each of 1 and 3 (mod 4).at n=18A035594
- Composites n such that A001414(n) is odd and divides n.at n=31A036346
- Numbers n such that string 6,4 occurs in the base 10 representation of n but not of n-1.at n=38A044396
- Numbers n such that string 6,4 occurs in the base 10 representation of n but not of n+1.at n=38A044777