Properties of the Number 6780

Six Thousand Seven Hundred Eighty

Basics

Value: 6779 → 6780 → 6781

Parity: even

Prime: No

Previous Prime: 6779

Next Prime: 6781

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 113

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1101001111100

Octal: 15174

Duodecimal: 3B10

Hexadecimal: 1a7c

Square: 45968400

Square Root: 82.3407554009556

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

Maximal coefficient of the polynomial (1-x)*(1-x²)*...*(1-xⁿ). A86376

T(n,k)=Number of -k..k arrays x(0..n+2) of n+3 elements with zero sum and no two or three adjacent elements summing to zero. A200430

Total sum of odd parts in all partitions of n. A66967

Numbers k such that φ(x) = k has exactly 7 solutions. A60670

T(n,k) is the number of non-equivalent distinguishing coloring partitions of the cycle on n vertices with exactly k parts. Regular triangle read by rows, n >= 1, 1 <= k <= n. A309784

Sum of smallest parts (counted with multiplicity) of all partitions of n into odd parts. A92313

Fibonacci(p-J(p,5)) mod p², where p is the n-th prime and J is the Jacobi symbol. A113650

Numbers k such that the number of digits d in k² is not prime and for each factor f of d the sum of the d/f digit groupings in k² of size f is a square. A153745

Numbers k such that k-1, k+1 and k²+1 are prime numbers. A70155

The maximum of the absolute value of the coefficients of Pn = (1-x)(1-x²)(1-x³)...(1-xⁿ). A160089