Properties of the Number 10284

Ten Thousand Two Hundred Eighty-Four

Basics

Value: 10283 → 10284 → 10285

Parity: even

Prime: No

Previous Prime: 10273

Next Prime: 10289

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 857

Divisors: 1, 2, 3, 4, 6, 12, 857, 1714, 2571, 3428

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100000101100

Octal: 24054

Duodecimal: 5B50

Hexadecimal: 282c

Square: 105760656

Square Root: 101.41005867269774

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

Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases. A4112

Number of integer partitions of n such that the maximum is greater than twice the median. A361857

Sin(n) decreases monotonically to -1. A46964

Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0. A24814

The smallest position with nim-value n in subtract-a-square game. A297963

McKay-Thompson series of class 8C for Monster. A52241

Number of permutations p of [n] such that p(i) > p(i+1) iff i == 0 (mod 6). A250283

Number of point labeled reduced 5-free two-graphs with n nodes. A7834

Expansion of (χ(q)⁵ * χ(-q))² in powers of q where χ() is a Ramanujan θ function. A143894

a(1) = 1, and for each k >=2, a(k) is the smallest number n such that n/cos(n) > a(k)/cos(a(k)), so that a(1)/cos(a(1)) > a(2)/cos(a(2)) > ... > a(k)/cos(a(k)) > ... A172446