Properties of the Number 8399

Eight Thousand Three Hundred Ninety-Nine

Basics

Value: 8398 → 8399 → 8400

Parity: odd

Prime: No

Previous Prime: 8389

Next Prime: 8419

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 37 × 227

Divisors: 1, 37, 227, 8399

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011001111

Octal: 20317

Duodecimal: 4A3B

Hexadecimal: 20cf

Square: 70543201

Square Root: 91.64605828948673

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

a(n) = least k such that the remainder when 7^k is divided by k is n. A119715

Square array A(x,y) = y-th odd number 2i+1 (i>=1) for which A112049(2i+1)=x, or 0 if no such i exists; read by descending antidiagonals. A112070

a(n) is equal to the n-th order Taylor polynomial (centered at 0) of c(x)ⁿ evaluated at x = 1, where c(x) = (1 - sqrt(1 - 4·x))/(2·x) is the o.g.f. of the Catalan numbers A000108. A333093

Array read by antidiagonals: A(n,k) is the number of nonequivalent binary matrices with k columns and any number of nonzero rows with n ones in every column up to permutation of rows and columns. A331461

a(n) = (n + 3)*(n² + 6·n + 2)/6. A5286

Relative of Hofstadter Q-sequence: a(n) = max(0, n+2087) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A373235

a(n) = n³ + n² - 1. A3777

Second 14-gonal numbers: n*(6·n+5). A211014

Number of digits in n-th term of A001387. A49194

Positive integers that are digitally balanced in more than one integer base b >= 2. A378104