Properties of the Number 35728

Thirty-Five Thousand Seven Hundred Twenty-Eight

Basics

Value: 35727 → 35728 → 35729

Parity: even

Prime: No

Previous Prime: 35677

Next Prime: 35729

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 7 × 11 × 29

Divisors: 1, 2, 4, 7, 8, 11, 14, 16, 22, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000101110010000

Octal: 105620

Duodecimal: 18814

Hexadecimal: 8b90

Square: 1276489984

Square Root: 189.01851761137056

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

a(n) = ∑_d∣n min(d, n/d)⁵. A297795

a(n) = 140·2ⁿ - 112. A305270

G.f. A(x) satisfies A(x) = 1 + x³*(1+x)²*A(x)³. A366591

a(n) = 1331·n - 209. A157444

a(n) = 49·n² + 7. A158481

Numbers k such that σ(k) = σ(k - d(k)). A277273

Number of 8-element subsets of [n] whose sum is a triangular number. A320854

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 54. A31732

a(n) = ∑_k=1..n k*(prime(k) - k). A110477

Number of defective 4-colorings of an n X 4 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order. A229574