3214
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4824
- Proper Divisor Sum (Aliquot Sum)
- 1610
- 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
- 1606
- Möbius Function
- 1
- Radical
- 3214
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 167
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- 2nd power of rooted tree enumerator; number of linear forests of 2 rooted trees.at n=9A000106
- Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.at n=17A000127
- Numbers that are the sum of 12 positive 7th powers.at n=21A003379
- Number of Twopins positions.at n=21A005691
- Coordination sequence T2 for Zeolite Code AFR.at n=43A008020
- Coordination sequence T3 for Zeolite Code CON.at n=40A009870
- a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=1.at n=15A014563
- Coordination sequence T8 for Zeolite Code TER.at n=38A016440
- Poincaré (or Molien) series for ring of Siegel modular forms of genus 3 (associated with full modular group Gamma_3).at n=37A027634
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically.at n=23A030299
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 56.at n=6A031554
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=1A031812
- Multiplicity of highest weight (or singular) vectors associated with character chi_38 of Monster module.at n=33A034426
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n-1.at n=36A044346
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n+1.at n=36A044727
- Molien series for group G_{1,3} of order 2304.at n=11A051461
- Number of 1-punctured staircase polygons (by perimeter) with a hole of perimeter 4.at n=12A055022
- Triangle: Number of asymmetric monoids of order n with k idempotents, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).at n=25A058152
- Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 16 (most significant digit on right, least significant zeros not written).at n=19A061945
- Nearest integer to log(n^n)^log(1 + log(n)).at n=44A062434