Properties of the Number 12748

Twelve Thousand Seven Hundred Forty-Eight

Basics

Value: 12747 → 12748 → 12749

Parity: even

Prime: No

Previous Prime: 12743

Next Prime: 12757

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 3187

Divisors: 1, 2, 4, 3187, 6374, 12748

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111001100

Octal: 30714

Duodecimal: 7464

Hexadecimal: 31cc

Square: 162511504

Square Root: 112.90704141017954

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

T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order and each element equal to one or two horizontal and vertical neighbors. A199647

Numbers n such that 8ⁿ + 3 is prime. A217354

Riordan array (1/sqrt(1-2·x-3·x²), 1/sqrt(1-2·x-3·x²) -1). A116392

Number of regions formed inside a right triangle by the straight line segments mutually connecting all vertices and points on the two shorter edges whose positions on one edge equal the Farey series of order n while on the other they divide its length into n equal segments. A359975

Number of permutations of length n whose powers all avoid the pattern 321. A326760

Number of partitions of n in which every part occurs 1, 4, or 5 times. Also number of partitions of n in which every part is congruent to {1, 3, 4, 5, 7} mod 8. A100853

a(n) = a(n-1) + 2·a(n-2) + (-1)ⁿ. A6904

a(0)=1, a(n)=2ⁿ+n-2·a(n-1). A82383

Number of nX3 0..2 arrays with values 0..2 introduced in row major order and each element equal to one or two horizontal and vertical neighbors. A199642

Number of nX5 0..2 arrays with values 0..2 introduced in row major order and each element equal to one or two horizontal and vertical neighbors. A199644