Properties of the Number 60049

Sixty Thousand Forty-Nine

Basics

Value: 60048 → 60049 → 60050

Parity: odd

Prime: No

Previous Prime: 60041

Next Prime: 60077

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 11 × 53 × 103

Divisors: 1, 11, 53, 103, 583, 1133, 5459, 60049

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101010010001

Octal: 165221

Duodecimal: 2A901

Hexadecimal: ea91

Square: 3605882401

Square Root: 245.04897469689604

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

Leyland numbers: 3, together with numbers expressible as n^k + kⁿ nontrivially, i.e., n,k > 1 (to avoid n = (n-1)¹ + 1^n-1). A76980

Numbers that can be written as s^x + t^y, with 1 < s < t and {s,t} = {x,y}; that is, are of the form s^s + t^t or s^t + t^s. A385232

a(n) = 3ⁿ + n³. A1585

Expansion of c(x²+x³), c(x) the g.f. of A000108. A115178

Numbers of the form x^y + y^x, 1 < x < y. A173054

a(n) = 10ⁿ + n¹⁰. A177068

G.f. A(x) satisfies: A(x) = 1 + x + x² * A(x/(1 + 6·x)) / (1 + 6·x). A351187

Smallest k such that for 0 <= i < n, 1+i+n*(n-1)/2 divides k-i. A91797

Least j > 1 such that j² = (4·n² + 2)*(k²) + (4·n² + 2)*k + 1. A106231

Triangulations of an n-gon such that each internal vertex has valence at least 6, i.e., nonpositively curved triangulations. A60049