3355
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4464
- Proper Divisor Sum (Aliquot Sum)
- 1109
- 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
- 2400
- Möbius Function
- -1
- Radical
- 3355
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 92
- 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
- no
- Odd
- yes
Appears in sequences
- Sum of odd Fermat coefficients rounded to nearest integer.at n=11A000968
- Coordination sequence T10 for Zeolite Code EUO.at n=36A008096
- Coordination sequence T2 for Zeolite Code MFI.at n=37A008165
- Coordination sequence T1 for Zeolite Code NON.at n=35A008212
- Expansion of g.f. 1/((1-2*x)*(1-7*x)).at n=4A016130
- Expansion of g.f. 1/((1 - 3*x)*(1 - 4*x)*(1 - 12*x)).at n=3A017161
- a(n) = dot_product(1,2,...,n)*(3,4,...,n,1,2).at n=19A026037
- Lucky numbers with size of gaps equal to 8 (lower terms).at n=39A031890
- "BHK" (reversible, identity, unlabeled) transform of 1,0,1,0...(odds).at n=19A032089
- Every run of digits of n in base 10 has length 2.at n=31A033008
- a()=A037260 and its first [ A037261 ], 2nd [ A037262 ] and 3rd [ A037263 ] differences together include every number at most once and are monotonic and minimal.at n=13A037260
- Shifts left under Euler transform.at n=22A038072
- Numbers n such that string 5,5 occurs in the base 10 representation of n but not of n-1.at n=33A044387
- Numbers n such that string 5,5 occurs in the base 10 representation of n but not of n+1.at n=33A044768
- Positive integers having more base-10 runs of even length than odd.at n=34A044836
- Numbers whose base-5 representation contains exactly two 0's and three 1's.at n=32A045168
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=11A045940
- a(n) = (Fibonacci(2*n)-(-1)^n*Fibonacci(n))/2.at n=10A049602
- Consider all integer triples (i,j,k), j >= k > 0, with i^3 = binomial(j+2,3) + binomial(k+2,3), ordered by increasing i; sequence gives i values.at n=10A054208
- Numbers k such that the Lucas Aurifeuillian primitive part B of Lucas(k) is prime.at n=39A061443