Properties of the Number 48100

Forty-Eight Thousand One Hundred

Basics

Value: 48099 → 48100 → 48101

Parity: even

Prime: No

Previous Prime: 48091

Next Prime: 48109

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 ² × 13 × 37

Divisors: 1, 2, 4, 5, 10, 13, 20, 25, 26, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011101111100100

Octal: 135744

Duodecimal: 23A04

Hexadecimal: bbe4

Square: 2313610000

Square Root: 219.31712199461307

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

Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles, including fixed points. A164998

Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles of length greater than 1. A165000

Square roots of sums of squares of divisors in A046655. A46656

The common value of sigma₂ for square-amicable numbers, sigma₂(m)=sigma₂(n), m<n. A110929

Number of (w,x,y,z) with all terms in {1,...,n} and w<=2x and y>=3z. A212515

Integers k such that k² can be written as the sum of three positive fourth powers. A365657

Sum of squares of divisors of the numbers m such that m and m+2 have the same sum of squares of divisors. A372114

G.f. A(x) satisfies A(x) = C(x) / (1 - x·A(x)³), where C(x) is the g.f. of A000108. A381827

Numbers k such that 271·2^k + 1 is prime. A53352

Fourier coefficients of T₁₆. A48100