Properties of the Number 68123

Sixty-Eight Thousand One Hundred Twenty-Three

Basics

Value: 68122 → 68123 → 68124

Parity: odd

Prime: No

Previous Prime: 68113

Next Prime: 68141

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 ² × 563

Divisors: 1, 11, 121, 563, 6193, 68123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000101000011011

Octal: 205033

Duodecimal: 3350B

Hexadecimal: 10a1b

Square: 4640743129

Square Root: 261.0038313895028

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

Minimal (positive) solution a(n) of Pell equation a(n)² - D(n)*b(n)² = +4 with D(n)= A077425(n). The companion sequence is b(n)=A078355(n). A77428

a(n) is the largest number whose sixth power is an n-digit sixth power which has the maximum sum of digits (A373994(n)). A380193

Numerators of continued fraction convergents to sqrt(981). A42898

G.f.: ∑_n>=0 xⁿ * (1+x)^n² / (1 + x*(1+x)ⁿ)ⁿ. A221546

Numerators of continued fraction convergents to sqrt(109). A41196

Multiplicity of highest weight (or singular) vectors associated with character chi₉₅ of Monster module. A34483

Smallest n-th power beginning with n copies of n. A68123

Number of nX4 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2. A275397