Properties of the Number 48072

Forty-Eight Thousand Seventy-Two

Basics

Value: 48071 → 48072 → 48073

Parity: even

Prime: No

Previous Prime: 48049

Next Prime: 48073

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 2003

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 2003, 4006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011101111001000

Octal: 135710

Duodecimal: 239A0

Hexadecimal: bbc8

Square: 2310917184

Square Root: 219.25327819670107

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 compositions of n with exactly two occurrences of the largest part. A243737

Smallest b > 1 such that b^p-1 == 1 (mod p⁴) for p = prime(n). A353937

Number of n X 6 0..1 arrays with every element unequal to 0, 1, 3 or 8 king-move adjacent elements, with upper left element zero. A304219

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3 or 8 king-move adjacent elements, with upper left element zero. A304221

Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n+2)/3. A48072