Properties of the Number 5685

Five Thousand Six Hundred Eighty-Five

Basics

Value: 5684 → 5685 → 5686

Parity: odd

Prime: No

Previous Prime: 5683

Next Prime: 5689

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 379

Divisors: 1, 3, 5, 15, 379, 1137, 1895, 5685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000110101

Octal: 13065

Duodecimal: 3359

Hexadecimal: 1635

Square: 32319225

Square Root: 75.39893898457723

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 Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1); triangle T(n,k), n>=0, read by rows. A243752

Expansion of (1 + 10·x + 20·x² + 10·x³ + x⁴)/(1-x)⁵. A160747

Number of ways to split a strict composition of n into contiguous subsequences with different sums. A336128

15-gonal (or pentadecagonal) numbers: n*(13n-11)/2. A51867

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s. A297762

Cluster series for site percolation problem on honeycomb matching lattice (honeycomb structure with 1st, 2nd and 3rd neighbors connected). A3200

Fundamental discriminants of real quadratic number fields with class number 6. A218156

Centered 14-gonal numbers. A69127

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)³ *∏_i=1..t (1-xⁱ) ). A59820

Expansion of c(x²+x³), c(x) the g.f. of A000108. A115178