590,992

2⁴ × 43 × 859

Starting at 590,992, the Collatz iteration reaches 1 after 84 steps. The first transition is 295496; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 43 × 859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,173,040

Proper Divisor Sum 582,048

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #590987 ← → #591023

Radix Representation

Decimal	590992
Binary	10010000010010010000 (20 bits)
Octal	0o2202220
Hexadecimal	0x90490

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 859 1,718 3,436 6,872 13,744 36,937 73,874 147,748 295,496 590,992

Collatz Trajectory (84 steps to reach 1)

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

590,992 295,496 147,748 73,874 36,937 110,812 55,406 27,703 83,110 41,555 124,666 62,333 187,000 93,500 46,750 23,375 70,126 35,063 105,190 52,595 157,786 78,893 236,680 118,340 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752

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