Properties of the Number 48601

Forty-Eight Thousand Six Hundred One

Basics

Value: 48600 → 48601 → 48602

Parity: odd

Prime: No

Previous Prime: 48593

Next Prime: 48611

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 53 × 131

Divisors: 1, 7, 53, 131, 371, 917, 6943, 48601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110111011001

Octal: 136731

Duodecimal: 24161

Hexadecimal: bdd9

Square: 2362057201

Square Root: 220.45634488487738

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 5-level labeled linear rooted trees with n leaves. A50353

Generalized Fubini numbers. Square array read by ascending antidiagonals, A(n,k) = 1 + k*(∑_j=1..n-1 C(n,j)*A(j,k)); n>=0 and k>=0. A257565

Number of set partitions of [n] such that for each block b the smallest integer interval containing b has at most five elements and for at least one block c the smallest integer interval containing c has exactly five elements. A320555

a(n) = 54·n² + 1. A158646

a(n) = ∑_i=0..n T(i,n-i), array T as in A049735. A49736

a(1) = 1; for n>1, a(n) = the smallest number p > a(n-1) such that (a(n-1)+p)/2 is a cube. A126950

Partial sums of Wagstaff numbers A000978. A172296

a(n) = (1/n²) * ∑_k>=1 kⁿ * (1 - 1/n)^{k - 1}. A331345

Robbins triangle read by rows: T(n,k) = number of alternating sign n X n matrices with a 1 at top of column k (n >= 1, 1<=k<=n). A48601