Properties of the Number 31002

Thirty-One Thousand Two

Basics

Value: 31001 → 31002 → 31003

Parity: even

Prime: No

Previous Prime: 30983

Next Prime: 31013

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5167

Divisors: 1, 2, 3, 6, 5167, 10334, 15501, 31002

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100100011010

Octal: 74432

Duodecimal: 15B36

Hexadecimal: 791a

Square: 961124004

Square Root: 176.07384814332877

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

Expansion of g.f. z*(2-2·z+z²+z³)/((1+z)*(1-3·z+2·z²-z³)). A137249

4-Smith numbers. A103125

Admirable Harshad numbers n such that the subtracted divisor is equal to the digital sum of n. A111948

"Inside numbers". Pick a term "t" and one of its digits "d". Now jump to the right over d digits if "d" is odd, and to the left over d digits if "d" is even. Whatever the "d" you choose, you will stay on "t". A284515

Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having k peaks of width 1 (i.e., UHD configurations, where U=(0,1), H(1,0), D=(0,-1)), (n>=2, k>=0). A273715

a(n) = 108·n² - 228·n + 114 (n>=2). A304618

floor[2ⁿ/Fibonacci(n)]. A57861

a(n) = prime(n) + n³ + n² + 4n - 1. A60822

Admirable Harshad numbers such that the subtracted divisor is also a Harshad number. A109396

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, -1), (0, 1, 0), (1, -1, 1)}. A148401