Properties of the Number 10855

Ten Thousand Eight Hundred Fifty-Five

Basics

Value: 10854 → 10855 → 10856

Parity: odd

Prime: No

Previous Prime: 10853

Next Prime: 10859

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 13 × 167

Divisors: 1, 5, 13, 65, 167, 835, 2171, 10855

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001100111

Octal: 25147

Duodecimal: 6347

Hexadecimal: 2a67

Square: 117831025

Square Root: 104.18733128360664

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 T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X n square under all symmetry operations of the square; irregular triangle T(n,k), n>=2, 0<=k<=floor(n/2)², read by rows. A236679

Triangle read by rows: T(n,k) (n>=0, 0<=k<=n) = number of partitions of n with exactly k kinds of 1's which are introduced in ascending order. A292746

Sums of six consecutive squares: a(n) = n² + (n+1)² + (n+2)² + (n+3)² + (n+4)² + (n+5)². A27865

Number of non-equivalent ways to place 4 non-attacking kings on an n X n board. A279113

Positive numbers having the same set of digits in base 9 and base 10. A37443

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones. A31779

A (-1,-2) Somos-4 sequence associated to the elliptic curve y² +y = x³ +3·x² +x. A178376

Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*2^|x(i)| zero. A187990

Number of permutations of 1..n with displacements restricted to {-6,-5,-4,-2,0,1,3}. A189597

Expansion of ∑_i>=1 x^prime(i)/(1 - x^prime(i)) * ∏_j>=i 1/(1 - x^prime(j)). A284827