Properties of the Number 62688

Sixty-Two Thousand Six Hundred Eighty-Eight

Basics

Value: 62687 → 62688 → 62689

Parity: even

Prime: No

Previous Prime: 62687

Next Prime: 62701

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 653

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111010011100000

Octal: 172340

Duodecimal: 30340

Hexadecimal: f4e0

Square: 3929785344

Square Root: 250.3757176724612

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 compositions [p(1), p(2), ..., p(k)] of n such that p(j) - p(j-1) <= 2. A224959

Conjectured formula for irreducible 6-fold Euler sums of weight 2n+16. A19459

Number of (n+1) X (1+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one. A231703

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one. A231710

Smallest triangular number with digit sum n (or 0 if no such number exists). A62688

Number of nX5 0..6 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 7, and upper left element zero. A230684

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317600