Properties of the Number 10732

Ten Thousand Seven Hundred Thirty-Two

Basics

Value: 10731 → 10732 → 10733

Parity: even

Prime: No

Previous Prime: 10729

Next Prime: 10733

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 2683

Divisors: 1, 2, 4, 2683, 5366, 10732

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111101100

Octal: 24754

Duodecimal: 6264

Hexadecimal: 29ec

Square: 115175824

Square Root: 103.59536669175895

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 the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A255036

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically. A256954

T(n,k)=Number of nXk binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally. A181224

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317383

a(n) = 1 + 2·n² + 3·n³ + 4·n⁴. A209262

Dihedral unlabeled Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n unlabeled points equally spaced on a circle, up to rotations and reflections of the circle. A185100

Numbers that are midway between the nearest square and the nearest cube. A233075

a(n) = 42·2ⁿ - 20. A305064

Number of unlabeled acyclic digraphs with n arcs and a global source and sink. A350492

Number n such that a2 - n³ is a triangular number (A000217), where a2 is the least square above n³. A233400