Properties of the Number 13745

Thirteen Thousand Seven Hundred Forty-Five

Basics

Value: 13744 → 13745 → 13746

Parity: odd

Prime: No

Previous Prime: 13729

Next Prime: 13751

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 2749

Divisors: 1, 5, 2749, 13745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110110001

Octal: 32661

Duodecimal: 7B55

Hexadecimal: 35b1

Square: 188925025

Square Root: 117.23907198540937

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

Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) with a(0)=a(1)=a(2)=1. A213

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nXk array. A221446

Consider all quadruples {a,b,c,d} which reach {k,k,k,k} in n steps under map {a,b,c,d}->{|a-b|,|b-c|,|c-d|,|d-a|}; look at max{a,b,c,d}; sequence gives minimal value of this. A45794

Minimum value t such that all quadruples of Diffy_length >= n have a maximal value >= t. A65678

Expansion of (1-x)/(1-x+x²+x³). A78016

Expansion of (1-x)/(1 + x + x² - x³). A78046

Expansion of 1/((1 - x)*(2 - theta₂(sqrt(x))/(2·x^1/8))), where theta₂() is the Jacobi θ function. A303668

Solution (a(n)) of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-1) + b(n); see Comments. A305330

a(n) = -(A(n) - A(n-1)) where A(n) = A057597(n+1), for n >= 0. A319200

Triangle read by rows. The reduced triangle of the partition triangle of irreducible permutations (A356262). T(n, k) for n >= 1 and 0 <= k < n. A356263