Properties of the Number 385

Three Hundred Eighty-Five

Basics

Value: 384 → 385 → 386

Parity: odd

Prime: No

Previous Prime: 383

Next Prime: 389

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 11

Divisors: 1, 5, 7, 11, 35, 55, 77, 385

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110000001

Octal: 601

Duodecimal: 281

Hexadecimal: 181

Square: 148225

Square Root: 19.621416870348583

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: Yes

OEIS Sequences

a(n) is the number of partitions of n (the partition numbers). A41

Expansion of ∏_k>=0 (1 + x^2k+1); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes. A700

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

The squarefree numbers ordered lexicographically by their prime factorization (with factors written in decreasing order). a(n) = ∏_{k in I} prime(k+1), where I is the set of indices of nonzero binary digits in n = ∑_{k in I} 2^k. A19565

Sphenic numbers: products of 3 distinct primes. A7304

Number of partitions of n into even parts. A35363

Prime factorization representation of Stern polynomials: a(0) = 1, a(1) = 2, a(2n) = A003961(a(n)), a(2n+1) = a(n)*a(n+1). A260443

Generalized octagonal numbers: k*(3·k-2), k=0, +- 1, +- 2, +-3, ... A1082

Number of fractions in Farey series of order n. A5728

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