Properties of the Number 30814

Thirty Thousand Eight Hundred Fourteen

Basics

Value: 30813 → 30814 → 30815

Parity: even

Prime: No

Previous Prime: 30809

Next Prime: 30817

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 31 × 71

Divisors: 1, 2, 7, 14, 31, 62, 71, 142, 217, 434

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100001011110

Octal: 74136

Duodecimal: 159BA

Hexadecimal: 785e

Square: 949502596

Square Root: 175.53916941811022

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

Jabotinsky-triangle related to A039647. A39692

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁹)). A288344

a(n) = n*(67·n - 89)/2. A263227

Triangle read by rows: coefficients of polynomials p(x,n) defined by 1/(1-t-t²)^x = ∑_n=1..oo p(x,n)*tⁿ/n!. A194938

Numbers k such that k = x + y, sigma₁(k) = sigma₁(x) + sigma₁(y) and sigma₂(k) = sigma₂(x) + sigma₂(y). A219033

Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A299347

Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A299349

Number of nondecreasing -n..n vectors of length 5 whose dot product with some nonincreasing -n..n vector equals 5. A226402

Number of partitions of n not containing 3*(number of parts) as a part. A238491

T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nonincreasing -k..k vector equals n. A226398