Properties of the Number 56616

Fifty-Six Thousand Six Hundred Sixteen

Basics

Value: 56615 → 56616 → 56617

Parity: even

Prime: No

Previous Prime: 56611

Next Prime: 56629

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 337

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101110100101000

Octal: 156450

Duodecimal: 28920

Hexadecimal: dd28

Square: 3205371456

Square Root: 237.94116919944727

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

Numbers k such that the symmetric representation of σ(k) has only two parts and they meet at the center of the Dyck path. A262259

Triangular numbers that are sums of two consecutive primes. A111163

Triangle read by rows: Take a hexagon with all diagonals drawn, as in A331931. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+4. A331932

Infinitary aliquot sequence starting at 6216. A293355

a(n) = 1728·n - 408. A157266

Triangular numbers that are sums of twin prime pairs. A165966

McKay-Thompson series of class 24B for Monster. A58572

Triangular numbers composed of digits {1,5,6}. A119132

a(n) = 289·n² - 2·n. A158252

McKay-Thompson series of class 24B for the Monster group with a(0) = 2. A212771