Properties of the Number 5604

Five Thousand Six Hundred Four

Basics

Value: 5603 → 5604 → 5605

Parity: even

Prime: No

Previous Prime: 5591

Next Prime: 5623

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 467

Divisors: 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111100100

Octal: 12744

Duodecimal: 32B0

Hexadecimal: 15e4

Square: 31404816

Square Root: 74.85986908885161

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) is the number of partitions of n (the partition numbers). A41

Number of partitions of n into even parts. A35363

Number of ways to partition 2n into positive integers. A58696

Number of complete partitions of n. A126796

Number of integer partitions of n whose Heinz number (product of primes of parts) is divisible by n. A330950

Even partition numbers. A52001

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k if k <= floor(n/2) otherwise 2*(n-k), and m = 1, read by rows. A157275

Rectangular table, read by antidiagonals, defined by the following rule: start with all 1's in row zero; from then on, row n+1 equals the partial sums of row n excluding terms in columns k = m*(m+1)/2 - 2 (m>=2). A125781

Partition numbers of the form 3·k. A87183

T(n,k)=Number of length n+5 0..k arrays with every six consecutive terms having the maximum of some two terms equal to the minimum of the remaining four terms. A250081