Properties of the Number 48008

Forty-Eight Thousand Eight

Basics

Value: 48007 → 48008 → 48009

Parity: even

Prime: No

Previous Prime: 47981

Next Prime: 48017

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 17 × 353

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 353, 706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101110001000

Octal: 135610

Duodecimal: 23948

Hexadecimal: bb88

Square: 2304768064

Square Root: 219.10727965998757

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 combinations which can be taken from the integer partitions of n. Total number of cases in the (n,m)-fragmentation process. A122768

a(n) = 2·a(n-1)+15·a(n-2) with n>0, a(0)=0, a(1)=1. A79773

G.f. equals the square root of P(4·x), where P(x) is the g.f. of the partition numbers (A000041). A271235

G.f. A(x) satisfies A(A(A(A(x)))) = B(x) (4th self-COMPOSE of A) such that the coefficients of B(x) consist only of numbers {1,2,3,4}, with B(0) = 0. A112109

Antidiagonal sums of the convolution array A213844. A213846

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

Number of nonempty subsets of {1,2,...,n} in which exactly 1/4 of the elements are <= (n-1)/3. A48008