Properties of the Number 48004

Forty-Eight Thousand Four

Basics

Value: 48003 → 48004 → 48005

Parity: even

Prime: No

Previous Prime: 47981

Next Prime: 48017

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 1091

Divisors: 1, 2, 4, 11, 22, 44, 1091, 2182, 4364, 12001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101110000100

Octal: 135604

Duodecimal: 23944

Hexadecimal: bb84

Square: 2304384016

Square Root: 219.0981515211847

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

Numbers k such that σ(k) = σ(k+11). A15881

a(n) = 4·n*(n² + 2)/3. A217873

Number of partitions of n into parts not of the form 19k, 19k+9 or 19k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 8 are greater than 1. A35978

Numbers whose base-6 representation has exactly 7 runs. A43615

Triangular array read by rows: T(n,k) = number of binary vectors of length n whose longest run of consecutive 1's has length k, for n >= 0, 0 <= k <= n. A48004

Number of nX4 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300642