Properties of the Number 32985

Thirty-Two Thousand Nine Hundred Eighty-Five

Basics

Value: 32984 → 32985 → 32986

Parity: odd

Prime: No

Previous Prime: 32983

Next Prime: 32987

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 733

Divisors: 1, 3, 5, 9, 15, 45, 733, 2199, 3665, 6597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000011011001

Octal: 100331

Duodecimal: 17109

Hexadecimal: 80d9

Square: 1088010225

Square Root: 181.61773041198373

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 compositions of n with strictly increasing run-lengths. A333192

Expansion of 1/(2·sqrt(1-4·x²)-x-1). A116390

Riordan matrix (1/((1-x)*sqrt(1-4·x)),x/(1-x)). A187887

Expansion of e.g.f.: exp(arctanh(arcsin(x)))=1+x+1/2!*x²+4/3!*x³+13/4!*x⁴+84/5!*x⁵... A12258

Numbers k such that if you subtract k from its reversal you get a positive number with the same digits as k. A121970

sec(arcsin(arcsin(x)))=1+1/2!*x²+13/4!*x⁴+469/6!*x⁶+32985/8!*x⁸... A12073

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1110-1111 pattern in any orientation. A146744

E.g.f. satisfies: A(x - Integral A(x) dx) = x + Integral 3·A(x) dx. A280570

Numbers with the property that all pairs of consecutive base-8 digits differ by more than 2. A32985