Properties of the Number 31429

Thirty-One Thousand Four Hundred Twenty-Nine

Basics

Value: 31428 → 31429 → 31430

Parity: odd

Prime: No

Previous Prime: 31397

Next Prime: 31469

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 53 × 593

Divisors: 1, 53, 593, 31429

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101011000101

Octal: 75305

Duodecimal: 16231

Hexadecimal: 7ac5

Square: 987782041

Square Root: 177.28226081590904

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 at distance 2n from nearest prime. A51728

Smallest number at distance n from nearest prime. A51652

Lonely numbers: distance to closest prime sets a new record. A51650

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294414

T(n,k)=Number of lower triangles of an (n+2k-2)X(n+2k-2) 0..k array with new values introduced in row major order 0..k and no element unequal to more than one horizontal or vertical neighbor. A194778

a(n) is the smallest number for which the prime distance A051699 is equal to n. A77019

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2·b(n-2) - b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295361

Smallest number at distance 2n from nearest prime (variant 2). A132860

List of indices where the maximum of {A316190(j) | j<=n} increases. A316191

Least positive k such that the distance from k to closest prime = n. A79582