Properties of the Number 20031

Twenty Thousand Thirty-One

Basics

Value: 20030 → 20031 → 20032

Parity: odd

Prime: No

Previous Prime: 20029

Next Prime: 20047

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 607

Divisors: 1, 3, 11, 33, 607, 1821, 6677, 20031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111000111111

Octal: 47077

Duodecimal: B713

Hexadecimal: 4e3f

Square: 401240961

Square Root: 141.53091535067523

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

Number of ways of writing n as the sum of 9 triangular numbers. A226253

Integers n of the form 8k+7 that are sum of distinct squares of the form m, m+1, m+2, m+4, where m == 1 (mod 4). A243578

Expansion of 1 + ∑_n>=1 (x^n² / ∏_k>=n (1 - x^k)). A188216

Least number k such that the determinant of the symmetric Toeplitz matrix formed by its decimal digits is equal to n. A307887

Numerators of continued fraction convergents to sqrt(805). A42552

Second differences of sequence A160644. A160648

Numbers k such that 9^k + 3^k+1 - 1 is prime. A214700

Least natural number n in increasing order such that the sum of decimal digits is equal to A001223(n). A179462

Number of distinct values of the sum of 4 products of three 0..n integers. A225261

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 670", based on the 5-celled von Neumann neighborhood. A273394