Properties of the Number 32065

Thirty-Two Thousand Sixty-Five

Basics

Value: 32064 → 32065 → 32066

Parity: odd

Prime: No

Previous Prime: 32063

Next Prime: 32069

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 11 ² × 53

Divisors: 1, 5, 11, 53, 55, 121, 265, 583, 605, 2915

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110101000001

Octal: 76501

Duodecimal: 16681

Hexadecimal: 7d41

Square: 1028164225

Square Root: 179.06702655709677

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 of binary Lyndon words containing n letters of each type; periodic binary sequences of period 2n with n zeros and n ones in each period. A22553

Triangle read by rows: entries on or below the main diagonal in A245558. A245559

Number of paraffins (see Losanitsch reference for precise definition). A6010

Number of aperiodic necklaces of n beads of 2 colors, 11 of them black. A32169

Witt vector·2!/2!. A6177

Formal infinite product representation for the Catalan numbers (A000108) o.g.f. series. A157161

a(n) = 1/11*(binomial(n,11) - floor(n/11)). A215054

Triangle read by rows: the multiset transform of the balanced binary Lyndon words (A022553). A289978

(binomial(2·p,p)-2)/(2·p) where p runs through the primes. A86655

Triangle read by rows: T(n,k) is the number of 2n-bead balanced binary necklaces with period length 2n/k. A385666