Properties of the Number 3355

Three Thousand Three Hundred Fifty-Five

Basics

Value: 3354 → 3355 → 3356

Parity: odd

Prime: No

Previous Prime: 3347

Next Prime: 3359

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 11 × 61

Divisors: 1, 5, 11, 55, 61, 305, 671, 3355

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100011011

Octal: 6433

Duodecimal: 1B37

Hexadecimal: d1b

Square: 11256025

Square Root: 57.92236183029832

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions of n such that some part is a sum of two or more other parts. A237668

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))⁴. A341243

Number of strict integer partitions of n that are empty or have smallest part not dividing all the others. A341450

Numbers m such that there are precisely 7 groups of order m. A249550

Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities). A45940

Trajectory of n under the Reverse and Add! operation carried out in base 2 does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A75252

Expansion of g.f. 1/((1-2·x)*(1-7·x)). A16130

a(n) = ∑_i=0..n 2ⁱ*B(i)*binomial(n,i) where B(n) = Bell numbers A000110(n). A126390

Numbers which are divisible by prime(d) for all digits d in their decimal representation. A256786

a(n) = number of components of the graph P(n,10) (defined in Comments). A158576