Properties of the Number 12753

Twelve Thousand Seven Hundred Fifty-Three

Basics

Value: 12752 → 12753 → 12754

Parity: odd

Prime: No

Previous Prime: 12743

Next Prime: 12757

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 109

Divisors: 1, 3, 9, 13, 39, 109, 117, 327, 981, 1417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000111010001

Octal: 30721

Duodecimal: 7469

Hexadecimal: 31d1

Square: 162639009

Square Root: 112.92918134831227

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) = n*(n+1)*(4·n+5)/6. A16061

Expansion of ∏_m>=1 ((1+q^2·m-1)/(1+q^2·m))⁶. A29843

Sum of the sixth largest parts of the partitions of n into 10 parts. A326593

Numbers k such that φ(k) is a perfect 5th power. A78165

Partial sums of A151782. A151793

Numbers k such that ∑_d∣k σ(d)³/d is an integer, where d are the divisors of k. A226566

Numbers k such that k(k+1)(k+2)...(k+9) / (k+(k+1)+(k+2)+...+(k+9)) is an integer. A32782

Least area (doubled) of a triangle enclosing a circle of radius n such that the center of the circle and the vertices of the triangle all have integer coordinates. A358465

Number of planar partitions of n where parts decrease by at most 1 along each row and column. A392511

Number of nondecreasing strings of numbers x(i=1..8) in -n..n with sum x(i)³ equal to 0. A188282