859,664

2⁴ × 13 × 4133

859,664 factors as 2^4 × 13 × 4133. Its 20 positive divisors give a proper-divisor sum of 934,492, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 4133

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,794,156

Proper Divisor Sum 934,492

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #859657 ← → #859667

Radix Representation

Decimal	859664
Binary	11010001111000010000 (20 bits)
Octal	0o3217020
Hexadecimal	0xD1E10

Divisor Catalog (20)

Collatz Trajectory (219 steps to reach 1)

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

859,664 429,832 214,916 107,458 53,729 161,188 80,594 40,297 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010 102,005 306,016 153,008 76,504 38,252 19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458

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