Properties of the Number 285

Two Hundred Eighty-Five

Basics

Value: 284 → 285 → 286

Parity: odd

Prime: No

Previous Prime: 283

Next Prime: 293

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 19

Divisors: 1, 3, 5, 15, 19, 57, 95, 285

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011101

Octal: 435

Duodecimal: 1B9

Hexadecimal: 11d

Square: 81225

Square Root: 16.881943016134134

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

Square pyramidal numbers: a(n) = 0² + 1² + 2² + ... + n² = n*(n+1)*(2·n+1)/6. A330

Triangle of coefficients of polynomials u(n,x) jointly generated with A029653; see the Formula section. A208510

Lucky numbers. A959

Sphenic numbers: products of 3 distinct primes. A7304

a(n) = binomial(5·n, n)/(4·n + 1). A2294

Number of balanced partitions of n: the largest part equals the number of parts. A47993

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n. A6918

Binary irreducible polynomials (primes in the ring GF(2)[X]), evaluated at X=2. A14580

a(n) = 6·n+3. A16945