Properties of the Number 13378

Thirteen Thousand Three Hundred Seventy-Eight

Basics

Value: 13377 → 13378 → 13379

Parity: even

Prime: No

Previous Prime: 13367

Next Prime: 13381

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 6689

Divisors: 1, 2, 6689, 13378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001000010

Octal: 32102

Duodecimal: 78AA

Hexadecimal: 3442

Square: 178970884

Square Root: 115.66330446602328

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

G.f.: A(x) = ∏_n>=0 1/(1 - a(n)*xⁿ⁺¹) = ∑_n>=0 a(n)*xⁿ. A93637

Numbers that are the sum of 3 nonzero 8th powers. A3381

Numbers that are the sum of 8 positive 7th powers. A3375

Triangle read by rows: the almost-Riordan array ( 1/(1-x) | 2/((1-x)*(1+sqrt(1-4·x))), (1-2·x-sqrt(1-4·x))/(2·x) ). A373744

a(n) is the smallest number whose English name has the letter "t" in the n-th position, or -1 if no such number exists. A164792

a(n) is the smallest number whose English name has the letter "h" in the n-th position, or -1 if no such number exists. A164795

Expansion of -x·d(log((1-x*(2/sqrt(3·x)) * sin((1/3) * arcsin(sqrt(27·x/4))))))/dx. A242798

Second elementary symmetric function of the first n terms of (1,2,2,3,3,4,4,5,5...). A203298

a(1)=1. Thereafter, a(n+1) is the greatest divisor of s(n) which is prime to a(n), where s(n) is the n-th partial sum. A351743

Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n having k UHD's; here U=(1,1), H=(1,0), and D=(1,-1). A190172