Properties of the Number -1378

Three Hundred Seventy-Eight

Basics

Value: -1379 → -1378 → -1377

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 53

Divisors: 1, 2, 13, 26, 53, 106, 689, 1378

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10101100010

Octal: -2542

Duodecimal: -96A

Hexadecimal: -562

Square: 1898884

Square Root: 37.12142238654117

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) satisfies the condition that both A(x) and F(x) = A(x·F(x)²) have zeros for every other coefficient after initial terms; dual sequence A157302 satisfies the same condition. A157305

Expansion of ∑_k>0 x^2·k/(1+x^k)³. A363022

Fourth column (m=3) of triangle A128494. A128498

Expansion of (1-4·x)/(1-x*(1-x)³). A119306

Expansion of g.f.: 2^floor((n+1/2))*n!*(1-y)ⁿ⁺¹*f(x, y, m), where f(x, y, m) = 2^m+1*exp(2^m*t)/((1-y·exp(t))*(1 + (2^m+1-1)*exp(2^m*t))), and m = 1. A171695

Expansion of ∑_k>=0 x^k*(k+1/2) / ∏_j=1..k (1 + x^j)^j. A306706

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

Second hexagonal numbers: a(n) = n*(2·n + 1). A14105

Sum of positive integers in smallest positive reduced residue system modulo n. a(1) = 1 by convention. A23896

Expansion of 1/((1-x)⁴*(1+x)). A2623