Properties of the Number 21760

Twenty-One Thousand Seven Hundred Sixty

Basics

Value: 21759 → 21760 → 21761

Parity: even

Prime: No

Previous Prime: 21757

Next Prime: 21767

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁸ × 5 × 17

Divisors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010100000000

Octal: 52400

Duodecimal: 10714

Hexadecimal: 5500

Square: 473497600

Square Root: 147.5127113166862

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

Expansion of 1/((1+x)*(1-x)⁵). A1752

Penrice Christmas gift numbers, Card-matching numbers (Dinner-Diner matching numbers): Triangle T(n,k) = number of ways to get k matches for a deck with n cards, 2 of each kind. A59056

First differences of the binomial transform of the distinct partition numbers (A000009). A129519

Numbers with exactly 2 odd integers in their Collatz (or 3x+1) trajectory. A62052

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186482

Number of totally symmetric plane partitions that fit in an n X n X n box. A5157

a(n) = n²*(n² - 1)/3. A112742

Expansion of x³*(3·x - 2)/(2·x - 1)³. A268586

a(n) is the determinant of an n X n Hermitian Toeplitz matrix whose first row consists of 1, 2·i, ..., n·i, where i denotes the imaginary unit. A359559

Binomial transform of A073145: a(n)=Sum(binomial(n,k)*A073145(k),(k=0,..,n)). A75115