Properties of the Number 7667

Seven Thousand Six Hundred Sixty-Seven

Basics

Value: 7666 → 7667 → 7668

Parity: odd

Prime: No

Previous Prime: 7649

Next Prime: 7669

Digit Sum: 26

Digital Root: 8

Palindrome: Yes

Factorization: 11 × 17 × 41

Divisors: 1, 11, 17, 41, 187, 451, 697, 7667

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111110011

Octal: 16763

Duodecimal: 452B

Hexadecimal: 1df3

Square: 58782889

Square Root: 87.56140702387097

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

Palindromic in bases 6 and 10. A29963

a(n) = n*(n+1)*(n+8)/6. A6503

Numbers which have only digits 6 and 7 in base 10. A256292

Positive integers m such that π(m²) = π(j²) + π(k²) for no 0 < j <= k < m. A262408

a(n) is the smallest number of the form k + reverse(k) for exactly n integers k, or -1 if no such number exists. A72041

Number of factor-free Dyck words with slope 5/2 and length 7n. A274052

Number of non-isomorphic weight-n multisets of sets of multisets. A323794

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out straight through or left turns. A221898

Write 0, 1, 2, 3, 4, ... in a triangular spiral, then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0, 7, ... A62725

Odd squarefree numbers n such that the cyclotomic polynomial φ(n,x) has height 4. A152942