Properties of the Number 12730

Twelve Thousand Seven Hundred Thirty

Basics

Value: 12729 → 12730 → 12731

Parity: even

Prime: No

Previous Prime: 12721

Next Prime: 12739

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 19 × 67

Divisors: 1, 2, 5, 10, 19, 38, 67, 95, 134, 190

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000110111010

Octal: 30672

Duodecimal: 744A

Hexadecimal: 31ba

Square: 162052900

Square Root: 112.82730166054668

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 (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254512

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically. A254819

a(n) = prime(n)*T(n), where T = A000217. A196421

Partial sums of A051865. A50441

Row sums in A083175. A83175

Twice 11-gonal numbers: a(n) = n*(9·n-7). A152995

a(n) is the number of permutations on [n] with no strong fixed points or small descents. A346189

Expansion of g.f. A(x) satisfying A(x) = x + x² + (2·A(x)³ + A(x³))/3. A375439

Number of 2n-bead balanced binary necklaces which are equivalent to their reverse, but not equivalent to their complement and reversed complement. A45676

Numbers n such that sqrt(36·n+49) is prime. A168669