Properties of the Number 3357

Three Thousand Three Hundred Fifty-Seven

Basics

Value: 3356 → 3357 → 3358

Parity: odd

Prime: No

Previous Prime: 3347

Next Prime: 3359

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 373

Divisors: 1, 3, 9, 373, 1119, 3357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100011101

Octal: 6435

Duodecimal: 1B39

Hexadecimal: d1d

Square: 11269449

Square Root: 57.9396237474839

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 refinement-ordered pairs of strict integer partitions of n. A317142

Powers of cube root of 21 rounded to nearest integer. A18037

Powers of cube root of 21 rounded up. A18038

Number of 4-level rooted trees with n leaves. A7713

Number of primes less than 10ⁿ having at least one digit 2. A91646

Number of partitions of n where the difference between consecutive parts is at most 2. A224956

T(n,k)=Number of (n+1)X(k+1) binary arrays with each element of every 2X2 subblock being the sum mod 2 of two others. A183845

Sum of the fifth largest parts of the partitions of n into 8 squarefree parts. A326448

Numbers k such that k¹² == 1 (mod 13³). A56086

Expansion of ∏_k>=1 1/(1-x^k)^binomial(k+6,7). A255965