Properties of the Number 10385

Ten Thousand Three Hundred Eighty-Five

Basics

Value: 10384 → 10385 → 10386

Parity: odd

Prime: No

Previous Prime: 10369

Next Prime: 10391

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 31 × 67

Divisors: 1, 5, 31, 67, 155, 335, 2077, 10385

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010010001

Octal: 24221

Duodecimal: 6015

Hexadecimal: 2891

Square: 107848225

Square Root: 101.90682018393078

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

a(n) = n*(2·n+5)*(n-1)/6. A51925

Array read by antidiagonals: T(m,n) = number of minimal dominating sets in the rook graph K_m X K_n. A290632

Sum of number of divisors of x^y for each x >= 1, y >= 0, x + y = n. A343657

Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex. A255561

Expansion of (1 - x + 2·x²) / (1 - x³ + x⁴). A110062

The number of vertices on a 2 by 1 ellipse formed by the straight line segments mutually connecting all points formed by dividing the ellipse into 2n equal angle sectors from its origin. A341762

a(n) = (1/2)*(n²+n+2)*(n²+3·n+1). A58310

Triangle read by rows: T(n,k) appears in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n T(n,k)*(x-2k)^k. A253382

Multiplicative order of 5 (mod A123692(n)²). A305332

Numbers k such that φ(k) + φ(k+3) = φ(k+1) + φ(k+2). A76665