Properties of the Number 10852

Ten Thousand Eight Hundred Fifty-Two

Basics

Value: 10851 → 10852 → 10853

Parity: even

Prime: No

Previous Prime: 10847

Next Prime: 10853

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 2713

Divisors: 1, 2, 4, 2713, 5426, 10852

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001100100

Octal: 25144

Duodecimal: 6344

Hexadecimal: 2a64

Square: 117765904

Square Root: 104.17293314484334

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

G.f.: ∑_{n >= 1} xⁿ/(1-xⁿ)⁵. A73570

Sum of the denominators of the Farey series of order n (A006843). A240877

T(n,k)=Number of nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281988

Numbers missing from A134419 despite satisfying the necessary congruence conditions (see comments). A274471

a(n) = ∑_d∣n (-1)^n/d-1 * binomial(d+3,4). A366814

Total number of parts that are the smallest part or the largest part in all partitions of n. A182978

Numbers missing from A001033 despite satisfying the necessary congruence conditions (see comments). A274470

On a spirally numbered square grid, with labels starting at 1, this is the number of the last cell that an (n,n+1) leaper reaches before getting trapped, or -1 if it never gets trapped. A343179

Number of finite edges in the graph formed when every pair of vertices of a row of n adjacent congruent rectangles are joined by an infinite line. A347751

Floor of expansion (1+π*x)^e. A109271