Properties of the Number 8829

Eight Thousand Eight Hundred Twenty-Nine

Basics

Value: 8828 → 8829 → 8830

Parity: odd

Prime: No

Previous Prime: 8821

Next Prime: 8831

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 109

Divisors: 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001001111101

Octal: 21175

Duodecimal: 5139

Hexadecimal: 227d

Square: 77951241

Square Root: 93.96275858019496

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 every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. A301884

Scaled Chebyshev U-polynomials evaluated at i·3/2. Generalized Fibonacci sequence. A57092

a(2·n+1) = 9·a(n), a(2·n+2) = 10·a(n) + a(n-1). A116555

a(n) = ∑_i=0..n digsum₅(i)³, where digsum₅(i) = A053824(i). A231670

Square array where row n lists all numbers k for which A335885(k) = n, read by falling antidiagonals. A335910

a(0) = 0, a(1) = 1; a(2·n) = 9·a(n), a(2·n+1) = a(n) + a(n+1). A342615

Expansion of (1 - x² + x³)/((1 - x² + x³)² - 4·x³). A376787

Numbers k such that gcd(k, reverse(k)) = 27 = 3³, where reverse(x) = A004086(x). A72016

Odd composite integers m such that A006190(2·m-J(m,13)) == 1 (mod m), where J(m,13) is the Jacobi symbol. A340119

a(n) is the smallest k such that (Z/kZ)* contains C_2n X C_2n as a subgroup, where (Z/kZ)* is the multiplicative group of integers modulo n. A307436