Properties of the Number 10846

Ten Thousand Eight Hundred Forty-Six

Basics

Value: 10845 → 10846 → 10847

Parity: even

Prime: No

Previous Prime: 10837

Next Prime: 10847

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 11 × 17 × 29

Divisors: 1, 2, 11, 17, 22, 29, 34, 58, 187, 319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101001011110

Octal: 25136

Duodecimal: 633A

Hexadecimal: 2a5e

Square: 117635716

Square Root: 104.14413089560064

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

Pairs (j, k) of numbers j<k such that φ(j) = φ(k), σ(j) = σ(k), d(j) = d(k). A134922

Eventual period of a single cell in rule 30 cellular automaton in a cyclic universe of width n. A334496

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its four previous neighbors modulo (k+1). A200469

On a spirally numbered square grid, with labels starting at 0, this is the number of the last cell that a (1,n) leaper reaches before getting trapped, or -1 if it never gets trapped. A323472

Number of partitions p of n such that median(p) < multiplicity(max(p)). A240207

Triangle T(n, k) = Numbers of inequivalent (mod D₃) ways to place k points on a triangular grid of side n so that no three of them are vertices of an equilateral triangle of any orientation. Triangle read by rows. A243141

Irregular triangle read by rows: T(n,k), n >= 2, 1 <= k <= n/2, = number of rooted forests with n nodes and k trees, with at least two nodes in each tree. A174135

Number of inequivalent (mod D₃) ways to place 5 points on a triangular grid of side n so that they are not vertices of an equilateral triangle of any orientation. A243144

G.f. A(x) = exp( ∑_n>=1 σ(n)*σ(2·n)/3·xⁿ/n ), where σ(n) = A000203(n) is the sum of the divisors of n. A382124

Expansion of (1-x)/((1-2·x)*(1-x-x³)). A99568