Properties of the Number 12746

Twelve Thousand Seven Hundred Forty-Six

Basics

Value: 12745 → 12746 → 12747

Parity: even

Prime: No

Previous Prime: 12743

Next Prime: 12757

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 6373

Divisors: 1, 2, 6373, 12746

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000111001010

Octal: 30712

Duodecimal: 7462

Hexadecimal: 31ca

Square: 162460516

Square Root: 112.89818421923357

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

Minimal exponents m such that the fractional part of (10/9)^m obtains a maximum (when starting with m=1). A153695

Numbers k such that the fractional part of (10/9)^k is greater than 1-(1/k). A153696

Total number of parts coprime to n in the partitions of n into 10 parts. A363328

Expansion of ∏_k>=1 1/(1-x^k²)^k². A291655

G.f.: ∑_k>=0 x^k * ∏_j=1..5·k (1 + x^j). A385069

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k ascents of length 2 starting at an even level (0<=k<=floor(n/2)). A114462

Number T(n,k) of permutations p of [n] with exactly k descents such that the up-down signature of p has nonnegative partial sums; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows. A321280

Concatenate n-th prime and n-th composite. A38530

Number of compositions of n having exactly nine fixed points. A240744

Number of permutations on [n] whose up-down signature has nonnegative partial sums and which have exactly two descents. A321268