Properties of the Number 5033

Five Thousand Thirty-Three

Basics

Value: 5032 → 5033 → 5034

Parity: odd

Prime: No

Previous Prime: 5023

Next Prime: 5039

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 × 719

Divisors: 1, 7, 719, 5033

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110101001

Octal: 11651

Duodecimal: 2AB5

Hexadecimal: 13a9

Square: 25331089

Square Root: 70.94363960215179

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

a(n) = n! - n. A5096

Hammersley's polynomial p_n(1). A6846

Number T(n,k) of permutations of [n] having k cycles of the form (c1, c2, ..., c_m) where c1 = min_i>=1 c_i and c_j = min_i>=j c_i or c_j = max_i>=j c_i; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A344855

Sum of positive cranks minus the sum of positive ranks of all partitions of n. A195012

Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; a(n) is the number of distinct partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p<=A000230(n). Multiple occurrences of a partition are not counted. A79024

Numbers of the form (4k+3)²-8 or (4k+5)²+4. A214405

Numbers n such that N = n³ is a twin rank (A002822: 6N +- 1 are twin primes). A326234

a(n) is the number of distinct values of the determinant of an n X n symmetric Toeplitz matrix using the first n prime numbers. A369832

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 633", based on the 5-celled von Neumann neighborhood. A273299

Number of aperiodic permutations of {1..n}. A324514