Properties of the Number 12137

Twelve Thousand One Hundred Thirty-Seven

Basics

Value: 12136 → 12137 → 12138

Parity: odd

Prime: No

Previous Prime: 12119

Next Prime: 12143

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 53 × 229

Divisors: 1, 53, 229, 12137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101101001

Octal: 27551

Duodecimal: 7035

Hexadecimal: 2f69

Square: 147306769

Square Root: 110.16805344563369

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) = ceiling(a(n-1)*3/2) with a(1) = 1. A61419

Irregular array read by rows. a(n) is the largest element in the primitive Collatz-like 3x-k cycle associated with A226623(n). A226624

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(3,2). A268526

Partial sums of usigma(n)²: square of the sum of unitary divisors of n. A74789

Numerators of the convergents given by treating A084580 as continued fraction coefficients after the leading 0. A390651

Number of partitions of n in which the largest summand has frequency 1, the next largest summand has frequency at most 2, the third largest has frequency at most 3, etc. A244395

Number of parts that are multiples of 3 in all partitions of n. A116635

a(n) = 42·n² - 1. A158626

Setwise difference A340150 \ A340076. A340151

Values of register b when register a becomes 0 for the two register machine {i[1], i[1], i[1], d[2,1], d[1,6], i[2], d[1,5], d[2,3]}. A156623