Properties of the Number 6755

Six Thousand Seven Hundred Fifty-Five

Basics

Value: 6754 → 6755 → 6756

Parity: odd

Prime: No

Previous Prime: 6737

Next Prime: 6761

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 7 × 193

Divisors: 1, 5, 7, 35, 193, 965, 1351, 6755

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001100011

Octal: 15143

Duodecimal: 3AAB

Hexadecimal: 1a63

Square: 45630025

Square Root: 82.18880702382776

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

Antidiagonal sums of triangular array T defined in A014430: T(j,k) = binomial(j+1, k) - 1 for 1 <= k <= j. A129696

a(n) = n*(11·n+1)/2. A22269

Third column of triangle A054450 (partial row sums of unsigned Chebyshev triangle A049310). A54451

Generalized divisor function. Number of partitions of n with exactly three part sizes. A2134

Partial sums of A027941(n-1) with a(-1) = 0. A54452

Triangle read by rows, T(n,k) = ∑_j=0..n C(n,j)*L(j,k), L the unsigned Lah numbers A271703, for n>=0 and 0<=k<=n. A271705

Numbers that are the sum of ten fourth powers in seven or more ways. A345600

Numbers that are the sum of ten fourth powers in eight or more ways. A345601

Numbers that are the sum of ten fourth powers in exactly eight ways. A345860

Path-counting array T(i,j) obtained from array t in A038792 by T(i,j)=t(2i+1,j). A38738