Properties of the Number 53600

Fifty-Three Thousand Six Hundred

Basics

Value: 53599 → 53600 → 53601

Parity: even

Prime: No

Previous Prime: 53597

Next Prime: 53609

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 5 ² × 67

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000101100000

Octal: 150540

Duodecimal: 27028

Hexadecimal: d160

Square: 2872960000

Square Root: 231.5167380558045

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) = (1/3)*(n² + 2·n + 3)*(n+1)². A14820

Number of regions in a "frame" of size n X n (see Comments for definition). A331776

Cupolar numbers: a(n) = (n+1)*(5·n² + 7·n + 3)/3. A96000

Numerator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337338

Lower triangular array, called S1hat(-5), related to partition number array A145372. A145373

Numbers n such that n, n+1, n+2, n+3, n+4 are all of the form x²+2·y² for nonnegative x, y. A96783

Octagonal numbers equal to S*(3S - 2) with 3S - 2 = k² and S semiprime. A124106

Octagonal numbers of the form C*(3C - 2) with 3C - 2 = k² and C a composite number. A125511

a(n) = 7·n³ - 6·n². A382251

Number of stacks of n triangles, pointing upwards or downwards depending on row parity. A224704