Properties of the Number 1668

One Thousand Six Hundred Sixty-Eight

Basics

Value: 1667 → 1668 → 1669

Parity: even

Prime: No

Previous Prime: 1667

Next Prime: 1669

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 139

Divisors: 1, 2, 3, 4, 6, 12, 139, 278, 417, 556

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010000100

Octal: 3204

Duodecimal: B70

Hexadecimal: 684

Square: 2782224

Square Root: 40.84115571332428

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

Number of partitions of n in which the least part is odd. A26804

Number of partitions of n that sorted in increasing order do not contain a part k in position k. A238394

Number of partitions of n into parts >= 4. A8484

Number of partitions of n in which the least part is 4. A26797

Triangle T(n,k), 0 <= k <= n, read by rows given by: T(0,0)=1, T(n,k)=0 if k < 0 or if k > n, T(n,0) = 3·T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-1) + T(n-1,k+1) for k >= 1. A126953

Numbers m such that there are precisely 15 groups of order m. A294156

Numbers k whose largest divisor <= sqrt(k) equals 12. A162532

a(n) is the number of ways to partition an n X n X n cube into 4 noncongruent cuboids. A384311

Number of partitions of n such that (greatest part) - (least part) = number of parts. A237832

Numbers k such that 3^k + 26 is prime. A219044