Properties of the Number 8799

Eight Thousand Seven Hundred Ninety-Nine

Basics

Value: 8798 → 8799 → 8800

Parity: odd

Prime: No

Previous Prime: 8783

Next Prime: 8803

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 419

Divisors: 1, 3, 7, 21, 419, 1257, 2933, 8799

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001001011111

Octal: 21137

Duodecimal: 5113

Hexadecimal: 225f

Square: 77422401

Square Root: 93.80298502713013

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 avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207068

Numbers with rounded up arithmetic mean of digits = 9. A178369

Irregular table read by rows: The number of k-faced polyhedra, where k>=4, created when an n-prism, formed from two n-sided regular polygons joined by n adjacent rectangles, is internally cut by all the planes defined by any three of its vertices. A338801

Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), n>=0, ceiling((sqrt(1+8·n)-1)/2)<=k<=n, read by rows. A316292

Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns. A316293

Numbers k such that k·k! - 1 is prime. A90704

a(n) = n³ - n² - n. A152015

a(n) = 6ⁿ + 4ⁿ - 1. A155617

a(n) = 22·n² - 1. A158540

n·a(n) provides the Moebius transform of signed central binomial coefficients. A178749