Properties of the Number 3336

Three Thousand Three Hundred Thirty-Six

Basics

Value: 3335 → 3336 → 3337

Parity: even

Prime: No

Previous Prime: 3331

Next Prime: 3343

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 139

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 139, 278

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100001000

Octal: 6410

Duodecimal: 1B20

Hexadecimal: d08

Square: 11128896

Square Root: 57.758116312774604

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 6-dimensional cusp form (η(q) * η(q³))⁶ in powers of q. A7332

a(n) = 4·n² - 9·n + 6. A54556

14-gonal (or tetradecagonal) numbers: a(n) = n*(6·n-5). A51866

a(n) = A005449(n) - 1, where A005449 = second pentagonal numbers. A95794

Number of parts > 1 in the last section of the set of partitions of n. A138135

Number A(n,k) of set partitions of [n] such that j is member of block b only if b = 1 or at least one of j-1, ..., j-k is member of a block >= b-1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A287641

A(n,k) is the n-th positive integer that has exactly k representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes; square array A(n,k), n>=1, k>=0, read by antidiagonals. A317390

a(n) = 5·a(n-1) - a(n-2) + 1 with a(0)=1, a(1)=6. A89817

Numbers k such that φ(x) = k has exactly 7 solutions. A60670

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-2) or (-2,0) and new values introduced in order 0..2. A275037