Properties of the Number 31300

Thirty-One Thousand Three Hundred

Basics

Value: 31299 → 31300 → 31301

Parity: even

Prime: No

Previous Prime: 31277

Next Prime: 31307

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 ² × 313

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001000100

Octal: 75104

Duodecimal: 16144

Hexadecimal: 7a44

Square: 979690000

Square Root: 176.91806012954132

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

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281563

8-step Fibonacci sequence starting with 0,0,0,0,1,0,0,0. A251741

Number of partitions p of n such that the number of distinct parts is a part or max(p) - min(p) is a part. A241391

a(n) = 4·n*(floor(n²/2)+1). For n >= 3, this is the number of directed Hamiltonian paths on the n-prism graph. A124350

Denominators of continued fraction convergents to sqrt(627). A42203

Rectangular array, by antidiagonals; row n consists of the numbers R(n)/n, where R(n) is row n of the array at A305995. A305996

Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281561

Number of 4Xn 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281566

Numbers k such that Bernoulli number B_k has denominator 33330. A295589

a(n) = (A084218(n) - 1)/12. A373040