Properties of the Number 3356

Three Thousand Three Hundred Fifty-Six

Basics

Value: 3355 → 3356 → 3357

Parity: even

Prime: No

Previous Prime: 3347

Next Prime: 3359

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 839

Divisors: 1, 2, 4, 839, 1678, 3356

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100011100

Octal: 6434

Duodecimal: 1B38

Hexadecimal: d1c

Square: 11262736

Square Root: 57.93099343184095

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

Numbers k such that (16·10^k - 31)/3 is prime. A270929

Fundamental discriminants of real quadratic number fields with class number 3. A94612

Powers of cube root of 21 rounded down. A18036

Triangle of numbers a(n,k) = number of Young tableaux with n cells and k rows (1 <= k <= n); also number of self-inverse permutations on n letters in which the length of the longest scattered (i.e., not necessarily contiguous) increasing subsequence is k. A47884

Number of partitions of n into parts without powers of 2. A101417

Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n. A66321

Number of multimin-partitions of normal multisets of weight n. A255397

a(n) = 2*(n² + 2·n - 2). A152811

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219686

a(n) = coefficient of xⁿ in A(x) such that 2 = ∑_n=-oo..+oo (-x)ⁿ * (2·A(x) + x^n-1)ⁿ⁺¹. A359712