Properties of the Number 8004

Eight Thousand Four

Basics

Value: 8003 → 8004 → 8005

Parity: even

Prime: No

Previous Prime: 7993

Next Prime: 8009

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 23 × 29

Divisors: 1, 2, 3, 4, 6, 12, 23, 29, 46, 58

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101000100

Octal: 17504

Duodecimal: 4770

Hexadecimal: 1f44

Square: 64064016

Square Root: 89.46507698538016

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 ways to split an integer partition of n into consecutive subsequences with weakly decreasing sums. A316245

Numbers k such that σ(k) = σ(k+4). A15863

Number of days after Jan 01 1000 such that the date written in the ISO-8601-format YYYYMMDD is palindromic. A210883

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..2 introduced in row major order. A205626

a(n) = ∑_k=0..n T(k)*T(n-k), where T is A000073; convolution of A000073 with itself. A73778

From a differential equation. A998

Number of partitions of n containing at least one prime. A235945

Exponential generating function is (1-x¹/1!)(1-x²/2!)(1-x³/3!).... A185895

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly two clockwise edge increases. A205986

-4-Knödel numbers. A225508