Properties of the Number 33371

Thirty-Three Thousand Three Hundred Seventy-One

Basics

Value: 33370 → 33371 → 33372

Parity: odd

Prime: No

Previous Prime: 33359

Next Prime: 33377

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 13 × 17 × 151

Divisors: 1, 13, 17, 151, 221, 1963, 2567, 33371

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001001011011

Octal: 101133

Duodecimal: 1738B

Hexadecimal: 825b

Square: 1113623641

Square Root: 182.67731112538306

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

Smallest number requiring n steps to reach 0 or -1 when iterating the function: f(n)=lcd(n)-lpf(n), where lcd(n) is the largest common difference between consecutive divisors of n (ordered by size) and lpf(n) is the largest prime factor of n. A74348

Number of solutions to x² + y² + z² < n²; number of lattice points inside a sphere of radius n. A78183

a(n) = 2·7ⁿ-3ⁿ. A81657

a(n) = 1 + (26·n+17+7·n²)*n/2. A95796

Open 3-dimensional ball numbers (version 1): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (0,0,0). A53592

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 110-111-010 pattern in any orientation. A146243

Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 110-111-010 pattern in any orientation. A146245

Odd primes p with one zero in Fibonacci numbers mod p. A53032

a(n) = floor(51/n). A33371