800,836

2² × 17 × 11777

800,836 has the prime decomposition 2^2 × 17 × 11777. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 11777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,484,028

Proper Divisor Sum 683,192

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #800801 ← → #800861

Radix Representation

Decimal	800836
Binary	11000011100001000100 (20 bits)
Octal	0o3034104
Hexadecimal	0xC3844

Divisor Catalog (12)

1 2 4 17 34 68 11,777 23,554 47,108 200,209 400,418 800,836

Collatz Trajectory (92 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

800,836 400,418 200,209 600,628 300,314 150,157 450,472 225,236 112,618 56,309 168,928 84,464 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847

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