Properties of the Number 9856

Nine Thousand Eight Hundred Fifty-Six

Basics

Value: 9855 → 9856 → 9857

Parity: even

Prime: No

Previous Prime: 9851

Next Prime: 9857

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁷ × 7 × 11

Divisors: 1, 2, 4, 7, 8, 11, 14, 16, 22, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011010000000

Octal: 23200

Duodecimal: 5854

Hexadecimal: 2680

Square: 97140736

Square Root: 99.27738916792686

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

The n-th n-gonal number: a(n) = n*(n² - 3·n + 4)/2. A60354

a(n) = 10·binomial(n,2) + 9·n. A135705

28-gonal numbers: a(n) = n*(13·n - 12). A161935

Number of ways to place 2 nonattacking knights on an n X n board. A172132

Numbers k such that σ(x) = k has exactly 6 solutions. A60662

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing. A200192

Pascal-(1,8,1) array. A143683

Expansion of ∑_0<i<j<k<l q^i+j+k+l/( (1-qⁱ)*(1-q^j)*(1-q^k)*(1-q^l) )². A365664

Array read by antidiagonals: T(n,k) is the number of chiral pairs of color patterns (set partitions) in a cycle of length n using k or fewer colors (subsets). A320742

Numbers with prime signature {7,1,1}, i.e., of form p⁷*q·r with p, q and r distinct primes. A179696