Properties of the Number 12963

Twelve Thousand Nine Hundred Sixty-Three

Basics

Value: 12962 → 12963 → 12964

Parity: odd

Prime: No

Previous Prime: 12959

Next Prime: 12967

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 × 149

Divisors: 1, 3, 29, 87, 149, 447, 4321, 12963

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001010100011

Octal: 31243

Duodecimal: 7603

Hexadecimal: 32a3

Square: 168039369

Square Root: 113.85517116055819

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

Bessel function Y₀(n) is a monotonically decreasing positive sequence. A46961

G.f. A(x) satisfies [xⁿ] A(x)^prime(n) = 0 for n > 1. A381353

Number of asymmetric (identity) trees with n nodes and 4 leaves. A55335

Numbers which do not reach zero under either of the iterations: x -> floor(sqrt(x)) * (x - floor(sqrt(x))²) or y -> ceiling(sqrt(y)) * (ceiling(sqrt(y))² - y). A219963

Nonprime numbers k such that the sum of the divisors of k² is of the form m² + m + 1. A289385

Numbers k such that k!4 + 2² is prime, where k!4 = k!!!! is the quadruple factorial number (A007662). A291122

Number of 7Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302169

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, 1), (0, 1, -1), (0, 1, 0), (1, 0, -1)}. A150051

Number of n X n arrays of squares of integers, symmetric about main diagonal, with all rows summing to 45. A156509

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302163