Properties of the Number 1378

One Thousand Three Hundred Seventy-Eight

Basics

Value: 1377 → 1378 → 1379

Parity: even

Prime: No

Previous Prime: 1373

Next Prime: 1381

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

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

a(n) = binomial(n,2): number of size-2 subsets of {0,1,...,n} that contain no consecutive integers. A161680

Centered 9-gonal (also known as nonagonal or enneagonal) numbers. Every third triangular number, starting with a(1)=1. A60544

Numbers which are the sum of 3 nonzero 4th powers. A3337

Multiples of 13 containing a 13 in their decimal representation. A121033

a(n) = p*(p-1)/2 for p = prime(n). A8837

a(n) = n*(n+1)*(4·n+5)/6. A16061