Properties of the Number 6978

Six Thousand Nine Hundred Seventy-Eight

Basics

Value: 6977 → 6978 → 6979

Parity: even

Prime: No

Previous Prime: 6977

Next Prime: 6983

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1163

Divisors: 1, 2, 3, 6, 1163, 2326, 3489, 6978

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101000010

Octal: 15502

Duodecimal: 4056

Hexadecimal: 1b42

Square: 48692484

Square Root: 83.5344240418284

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 collapsible integer partitions of n. A275870

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = ∑_k>=0 y^k * R_k(y)^n·k for n>=0, with R₀(y) = 1/(1-y). A124530

Row 1 of rectangular table A124530. A124531

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = [ ∑_k>=0 y^k * R_k(y)ⁿ ]ⁿ for n>=0, with R₀(y) = 1. A124540

Number of words of length n in a certain language. A5819

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9. A251652

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5. A252605

Number of orbits of length n under the automorphism of the 3-torus whose periodic points are counted by A001945. A60169

Expansion of A(x)², where A(x) = o.g.f. of nⁿ (A000312). A100262

Starts of runs of 3 consecutive integers that are all terms in A381581. A381583