Properties of the Number 9723

Nine Thousand Seven Hundred Twenty-Three

Basics

Value: 9722 → 9723 → 9724

Parity: odd

Prime: No

Previous Prime: 9721

Next Prime: 9733

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 463

Divisors: 1, 3, 7, 21, 463, 1389, 3241, 9723

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111111011

Octal: 22773

Duodecimal: 5763

Hexadecimal: 25fb

Square: 94536729

Square Root: 98.60527369263775

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) = n³ + n² + n. A27444

Numbers m such that there are precisely 7 groups of order m. A249550

a(n) = 2·C(n) - 1, where C(n) = A000108(n) are the Catalan numbers. A131428

a(n) = n*(11·n+1)/2. A22269

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically. A207500

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207960

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt(2 / ( (1+2*(k-4)*x+((k+4)*x)²) * (1-(k+4)*x+sqrt(1+2*(k-4)*x+((k+4)*x)²)) )). A337464

Numbers n such that p = n² + 2, p+2 and p+6 are consecutive primes. A86380

Numbers k such that k and 5·k, taken together, are zeroless pandigital. A115930

Triangle read by rows: T(n,k) = C(n) + C(k) - 1 where C(n) = A000108(n) are the Catalan numbers, 0 <= k <= n. A131429