3342
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6696
- Proper Divisor Sum (Aliquot Sum)
- 3354
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1112
- Möbius Function
- -1
- Radical
- 3342
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 43
- 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
- Representation degeneracies for boson strings.at n=35A005290
- Coordination sequence T2 for Zeolite Code CAS.at n=36A008064
- Coordination sequence T6 for Zeolite Code MTT.at n=36A008194
- Repeatedly convert from decimal to octal.at n=19A008557
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9).at n=42A017840
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DDR = Deca-dodecasil 3R[Si120O240]qR starting with a T5 atom.at n=11A019112
- Coordination sequence T5 for Zeolite Code CGF.at n=40A019455
- Position of n^3 + 9 in A024975.at n=30A024979
- Concatenation of n and n + 9 or {n,n+9}.at n=32A032614
- Numbers n such that string 4,2 occurs in the base 10 representation of n but not of n-1.at n=36A044374
- Numbers n such that string 4,2 occurs in the base 10 representation of n but not of n+1.at n=36A044755
- Numbers k such that the k-th partition number A000041(k) is prime.at n=51A046063
- Number of isolated-pentagon (IPR) fullerenes with 2n vertices (or carbon atoms).at n=26A046880
- Handsome numbers (A007532) representable as a sum of any positive powers of their digits in two distinct ways, not counting different powers of duplicated digits as distinct.at n=23A050240
- Each permutation in the list A060117 converted to Site Swap notation, with "zero throws" (fixed elements) replaced with n, the length of siteswap.at n=19A060495
- Numbers that are sums of repdigits of their digits (see Comments for precise definition).at n=47A061276
- Numbers n such that f(n) and f(f(n)) are prime, where f(k) = decimal encoding of the prime factorization of k.at n=42A067600
- Number of elements in n-th row of A080738.at n=51A080739
- G.f.: (x+4*x^3+x^5)/((1-x)^2*(1-x^2)^2*(1-x^3)^2).at n=16A083708
- Successively larger 3-ball ground-state site swaps of A084501 in concatenated decimal notation.at n=10A084502