Properties of the Number 31098

Thirty-One Thousand Ninety-Eight

Basics

Value: 31097 → 31098 → 31099

Parity: even

Prime: No

Previous Prime: 31091

Next Prime: 31121

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 71 × 73

Divisors: 1, 2, 3, 6, 71, 73, 142, 146, 213, 219

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111100101111010

Octal: 74572

Duodecimal: 15BB6

Hexadecimal: 797a

Square: 967085604

Square Root: 176.34625031454453

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 1/((1-x)³*(1-x²)²*(1-x³)). A2625

At stage 1, start with a unit square. At each successive stage add 4*(n-1) new squares around outside with edge-to-edge contacts. Sequence gives number of squares (regardless of size) at n-th stage. A56640

Numbers k for which rank of the elliptic curve y²=x³+k·x is 4. A309031

Number of squares in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid. A111746

Number of points on surface of truncated cube: a(n) = 46·n² + 2 for n > 0. A5911

Expansion of 1/((1-x)²*(1-x²)²*(1-x³)*(1-x⁴)²*(1-x⁵)). A69957

Let p(k) be the number of partitions of k (A000041); a(n) = ∑_{1<=k<=n, gcd(k,n)=1} p(k). A96223

Write n in base 9, then complement each digit (d -> 8-d) and juxtapose. A31098