Properties of the Number 7755

Seven Thousand Seven Hundred Fifty-Five

Basics

Value: 7754 → 7755 → 7756

Parity: odd

Prime: No

Previous Prime: 7753

Next Prime: 7757

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 11 × 47

Divisors: 1, 3, 5, 11, 15, 33, 47, 55, 141, 165

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111001001011

Octal: 17113

Duodecimal: 45A3

Hexadecimal: 1e4b

Square: 60140025

Square Root: 88.06247782114696

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

Numbers k such that the Woodall number k·2^k - 1 is prime. A2234

Smallest j with n nodes in its riff (rooted index-functional forest). A62860

Numbers whose sum of divisors is a cube. A20477

Total number of n-digit numbers requiring 9 positive biquadrates in their representation as sum of biquadrates. A186664

T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252558

Number of strict compositions of n with all adjacent parts (x, y) satisfying x < 2y and y < 2x. A342341

Numbers k such that the Lucas Aurifeuillian primitive part A of Lucas(k) is prime. A61442

Odd interprimes divisible by 11. A126230

Table T(n,k) = ∑_i=0..2n (C(2n,i) mod 2)*F(i+k) = ∑_i=0..n (C(n,i) mod 2)*F(2i+k). A50609

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