Properties of the Number 8404

Eight Thousand Four Hundred Four

Basics

Value: 8403 → 8404 → 8405

Parity: even

Prime: No

Previous Prime: 8389

Next Prime: 8419

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 191

Divisors: 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000011010100

Octal: 20324

Duodecimal: 4A44

Hexadecimal: 20d4

Square: 70627216

Square Root: 91.67333309092672

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

Number of integer partitions of n with all distinct run-sums. A353837

Permutation of natural numbers, the even bisection of A241909 incremented by one and halved; equally, a composition of A241909 and A048673: a(n) = A048673(A241909(n)). A243066

T(n,k)=Number of nXk 0..3 arrays with values 0..3 introduced in row major order and no element equal to any horizontal or vertical neighbor. A198715

a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes. A25129

a(n) = (7ⁿ+1)/2. A34494

T(n,k)=Number of 0..3 colorings of an nx(k+1) array circular in the k+1 direction with new values 0..3 introduced in row major order. A214112

T(n,k)=Number of binary arrays of length n+2·k-1 with fewer than k ones in any length 2k subsequence (=less than 50% duty cycle). A213118

Number of partitions of n where the difference between consecutive parts is at most 8. A238868

a(n) = 5·n² - 1. A134538

T(n,k)=Number of nXk 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order. A206396