Properties of the Number 1678

One Thousand Six Hundred Seventy-Eight

Basics

Value: 1677 → 1678 → 1679

Parity: even

Prime: No

Previous Prime: 1669

Next Prime: 1693

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 839

Divisors: 1, 2, 839, 1678

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11010001110

Octal: 3216

Duodecimal: B7A

Hexadecimal: 68e

Square: 2815684

Square Root: 40.963398296528084

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

T(n,m) = number of 0..m-1 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1. A171307

Numbers n such that n³² + 1 is prime. A6315

Number of strict integer partitions of n with no adjacent parts having quotient >= 2. A342097

a(n) = n² - 3. A28872

a(n) = -2·n² + 12·n - 14. A147973

Number of separable integer partitions of n without an alternating permutation. A345166

a(n) = solution to the postage stamp problem with 3 denominations and n stamps. A1208

G.f. A(x) satisfies A(x) = 1 + x·A(x)⁴ / (1 - x). A349331

Numbers k such that 3^k + 22 is prime. A219042

Numbers n such that the decimal expansions of both n and n² have 1 as smallest digit and 8 as largest digit. A257211