Properties of the Number 12683

Twelve Thousand Six Hundred Eighty-Three

Basics

Value: 12682 → 12683 → 12684

Parity: odd

Prime: No

Previous Prime: 12671

Next Prime: 12689

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 × 1153

Divisors: 1, 11, 1153, 12683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110001011

Octal: 30613

Duodecimal: 740B

Hexadecimal: 318b

Square: 160858489

Square Root: 112.61882613488741

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

Expansion of 1/( 1 - x / ∏_n>=1 (1-xⁿ) ). A67687

Number of integer partitions of n such that the number of parts is equal to the number of distinct divisors of parts. A371130

Number of integer partitions of n with weighted alternating sum 0. A363532

Values·for records of minima of the positive distance d between an 11th power of a positive integer·and a square of an integer y such that d = x¹³ - y² (x<>k² and y<>k¹³). A179799

Number of partitions p of n such that the number of parts having multiplicity 1 is a part and max(p) - min(p) is not a part. A241449

Number of partitions of n such that (number parts having multiplicity 1) is not a part and (number of parts > 1) is not a part. A241514

Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| <= w+x+y. A213487

Numerators of continued fraction convergents to sqrt(247). A41462

Numerators of continued fraction convergents to sqrt(562). A42076

a(1) = 2; for n > 1, a(n) = a(n-1)*prime(n) if a(n-1)<=prime(n), otherwise a(n) = a(n-1)-prime(n). A382619