Properties of the Number 53000

Fifty-Three Thousand

Basics

Value: 52999 → 53000 → 53001

Parity: even

Prime: No

Previous Prime: 52999

Next Prime: 53003

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 5 ³ × 53

Divisors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100111100001000

Octal: 147410

Duodecimal: 26808

Hexadecimal: cf08

Square: 2809000000

Square Root: 230.21728866442677

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 partitions of n having no doubletons. By a doubleton in a partition we mean an occurrence of a part exactly twice (the partition [4,(3,3),2,2,2,(1,1)] of 18 has two doubletons, shown between parentheses). A116645

Let p = n-th prime of the form 4k+1, take the integer solution (x,y) to the Pellian equation x² - p·y² = 1 with the smallest y >= 1; sequence gives value of y. A82393

Let p = n-th prime, take smallest solution (x,y) to the Pellian equation x² - p·y² = 1 with·and y >= 1; sequence gives value of y. A81234

a(n) = 297754·n - 244754. A157758

a(n) = 297754·n - 53000. A157761

Nonnegative solutions of the Pell equation x² - 89·y² = +1. Solutions y = 53000·a(n). A227111

Products of consecutive terms of the Padovan sequence A000931. A329227

Denominators of continued fraction convergents to sqrt(89). A41159

Denominators of continued fraction convergents to sqrt(801). A42545

a(n) = ∑_k=1..n-1 lcm(lcm(n, k), lcm(n, n-k)). A338798