Properties of the Number 13337

Thirteen Thousand Three Hundred Thirty-Seven

Basics

Value: 13336 → 13337 → 13338

Parity: odd

Prime: Yes

Previous Prime: 13331

Next Prime: 13339

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 13337

Divisors: 1, 13337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000011001

Octal: 32031

Duodecimal: 7875

Hexadecimal: 3419

Square: 177875569

Square Root: 115.48592987892508

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

Partial sums of A299279. A299280

Least n-gap prime: a(n) = least prime p for which there is no prime between n·p and n·q, where q is the next prime after p. A195325

Primes containing the string 333. A166581

Primes with either no internal digits or all internal digits are 3. A69678

Primes p such that p-1 and p+1 each contain at least one cubed prime in their prime factorization. A162870

Primes p such that p's set of distinct digits is {1,3,7}. A108382

Primes with exactly three 3's. A178552

Square array A(n, k) = A388283(A246278(n, k)), read by falling antidiagonals. Numerator of (3·n-σ(n))/n, as applied to the prime shift array. A388284

Primes congruent to 3 mod 59. A142730

Sequence of twin prime p where the middle term p+1 has 6 prime factors (here p+2 is the associated twin prime, not listed). A164290