Properties of the Number 77830

Seventy-Seven Thousand Eight Hundred Thirty

Basics

Value: 77829 → 77830 → 77831

Parity: even

Prime: No

Previous Prime: 77813

Next Prime: 77839

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 43 × 181

Divisors: 1, 2, 5, 10, 43, 86, 181, 215, 362, 430

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000000000110

Octal: 230006

Duodecimal: 3905A

Hexadecimal: 13006

Square: 6057508900

Square Root: 278.98028604186356

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 arrays containing k copies of 0..n-1 with no element 1 greater than its northwest or southwest neighbor modulo n and the upper left element equal to 0. A266572

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its northwest or northeast neighbor modulo n and the upper left element equal to 0. A266681

G.f. A(x) satisfies: A( 2·A(x)² - 4·A(x)³ ) = 2·x² + 4·x³. A290957

Number of 4Xn arrays containing n copies of 0..4-1 with no element 1 greater than its northwest or southwest neighbor modulo 4 and the upper left element equal to 0. A266574

Number of 4Xn arrays containing n copies of 0..4-1 with no element 1 greater than its northwest or northeast neighbor modulo 4 and the upper left element equal to 0. A266683

G.f. A(x) satisfies: A( 2·A(x)² + 4·A(x)³ ) = 2·x² - 4·x³. A290958

Expansion of 1/(1-3·x-2·x²-3·x³). A77830