Properties of the Number 9776

Nine Thousand Seven Hundred Seventy-Six

Basics

Value: 9775 → 9776 → 9777

Parity: even

Prime: No

Previous Prime: 9769

Next Prime: 9781

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 13 × 47

Divisors: 1, 2, 4, 8, 13, 16, 26, 47, 52, 94

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000110000

Octal: 23060

Duodecimal: 57A8

Hexadecimal: 2630

Square: 95570176

Square Root: 98.8736567544662

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 integer partitions of n whose length can be written as a nonnegative linear combination of the distinct parts. A367218

Number of "cubic partitions" of n: expansion of ∏_k>0 1/((1-x^2k)²*(1-x^2k-1)) in powers of x. A2513

Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507. A262508

a(n) = n*(n+2)*(2·n-1)/3. Also, row sums of triangle A131422. A131423

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111. A260370

Number of non-unimodal compositions of n into distinct terms. A72707

Numbers which are representable as a sum of thirteen but no fewer consecutive nonnegative integers. A270300

a(n) = ∑_k=1..n k·sigma₂(k). A356125

Number of partitions of n such that the number of parts having multiplicity 1 is a part and the number of distinct parts is not a part. A241444

Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation. A3451