3036
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 5028
- 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
- 880
- Möbius Function
- 0
- Radical
- 1518
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 61
- 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
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=21A005996
- Icosahedral numbers: a(n) = n*(5*n^2 - 5*n + 2)/2.at n=10A006564
- Coordination sequence for hexagonal close-packing.at n=17A007899
- Coordination sequence T1 for Scapolite.at n=35A008262
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=34A008264
- Molien series for alternating group Alt_12 (or A_12).at n=28A008635
- Number of partitions of n into at most 12 parts.at n=28A008641
- Coordination sequence for alpha-Nd, Position Nd1.at n=17A009948
- a(n) = floor(n*(n-1)*(n-2)/4).at n=24A011886
- a(n) = floor(n*(n-1)*(n-2)/30).at n=46A011912
- Number of partitions of n into distinct parts, none being 6.at n=52A015753
- Numbers with exactly 6 1's in their ternary expansion.at n=30A023697
- Areas of right triangles with coprime integer sides.at n=23A024365
- Ordered areas of primitive Pythagorean triangles.at n=25A024406
- Least term in period of continued fraction for sqrt(n) is 10.at n=10A031434
- Concatenation of n and n + 6 or {n,n+6}.at n=29A032611
- Numbers in which all pairs of consecutive base-10 digits differ by 3.at n=47A033081
- Coordination sequence T4 for Zeolite Code SBT.at n=44A033615
- Number of flat partitions of n: partitions {a_i} with each |a_i - a_{i-1}| <= 1.at n=47A034296
- Number of partitions of n into parts not of the form 21k, 21k+10 or 21k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=28A035988