Properties of the Number 33356

Thirty-Three Thousand Three Hundred Fifty-Six

Basics

Value: 33355 → 33356 → 33357

Parity: even

Prime: No

Previous Prime: 33353

Next Prime: 33359

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 31 × 269

Divisors: 1, 2, 4, 31, 62, 124, 269, 538, 1076, 8339

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000001001001100

Octal: 101114

Duodecimal: 17378

Hexadecimal: 824c

Square: 1112622736

Square Root: 182.63625050903778

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

Expansion of (φ³(q³) / φ(q)) * (ψ(-q³) / ψ³(-q)) in powers of q where φ(), ψ() are Ramanujan θ functions. A164617

Expansion of f(-x, -x⁵) * f(-x⁶) / f(-x)² in powers of·where f(, ) and f() are Ramanujan θ functions. A132302

Expansion of (1/3) * (c(q)² / c(q²)) / (b(q²)² / b(q)) in powers of q where b(), c() are cubic AGM θ functions. A128641

Expansion of (1/3) * (c(q²)² / c(q)) / (b(q²)² / b(q)) in powers of q where b(), c() are cubic AGM θ functions. A128640

Expansion of f(x, x⁵) * f(-x⁶) / f(x)² in powers of·where f() is a Ramanujan θ function. A254346

G.f. satisfies A(x) = 1 + x / (1 - x·A(x)³)². A367242

Numbers whose sum of divisors is equal to the product of the number of divisors of their k first powers, for some k. A283758

Number of 4-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions. A187299

Numbers k such that 5·10^k - 81 is prime. A281512

a(n) = floor(36/n). A33356