Properties of the Number 62520

Sixty-Two Thousand Five Hundred Twenty

Basics

Value: 62519 → 62520 → 62521

Parity: even

Prime: No

Previous Prime: 62507

Next Prime: 62533

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 521

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111010000111000

Octal: 172070

Duodecimal: 30220

Hexadecimal: f438

Square: 3908750400

Square Root: 250.0399968005119

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

p-INVERT of the positive integers (A000027), where p(S) = 1 - S - S². A289780

Irregular table read by rows: The number of k-faced polyhedra, where k>=4, created when an n-prism, formed from two n-sided regular polygons joined by n adjacent rectangles, is internally cut by all the planes defined by any three of its vertices. A338801

Successively larger 3-ball 'prime' ground-state site swaps of A084521 in concatenated decimal notation. A84522

Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)ⁿ⁺¹*p(n, x)/x, p(n, x) = x·D( p(n-1, x) ), with p(1, x) = x/(1-x)², p(2, x) = x*(1+x)/(1-x)³, and p(3, x) = x*(1+6·x+x²)/(1-x)⁴, read by rows. A166344

a(n) = 625·n² + 2·n. A158382

a(n) = ∑_k=m..n T(k,n-k), where m = floor((n+1)/2); a(n) is the n-th diagonal-sum of left justified array T given by A027935. A27947

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 25. A31703

a(n) = 3·a(n-1)-3·a(n-2)+a(n-3)+a(n-4). A138653

Number of n X n symmetric binary matrices with each 1 adjacent to an odd number of other 1's. A140964

3^a(n) is smallest nonnegative power of 3 containing n. A62520