3213
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 2547
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1728
- Möbius Function
- 0
- Radical
- 357
- Omega Function (Ω)
- 5
- 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
- 22
- 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
- no
- Odd
- yes
Appears in sequences
- Squares written in base 6.at n=27A001741
- Numbers that are the sum of 11 positive 7th powers.at n=20A003378
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=26A003452
- Cubes written in base 6.at n=8A004636
- Powers of 3 written in base 6.at n=6A004660
- For any circular arrangement of 0..n-1, let S = sum of squares of every sum of two contiguous numbers; then a(n) = # of distinct values of S.at n=26A007773
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=39A008000
- Coordination sequence T3 for Zeolite Code AFR.at n=43A008021
- Coordination sequence T4 for Zeolite Code BRE.at n=37A008061
- Coordination sequence T9 for Zeolite Code MFI.at n=36A008172
- a(0) = 1, a(n) = 19*n^2 + 2 for n>0.at n=13A010009
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=18A014088
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BRE = Brewsterite (Sr,Ba)2[Al4Si12O32].10H2O starting with a T1 atom.at n=11A019087
- Pseudoprimes to base 55.at n=23A020183
- n written in fractional base 4/3.at n=15A024631
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A014306, t = (primes).at n=48A024696
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=24A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=26A025407
- Lucky numbers with size of gaps equal to 10 (lower terms).at n=39A031892
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=13A031897