992,304

2⁴ × 3³ × 2297

Starting at 992,304, the Collatz iteration reaches 1 after 59 steps. The first transition is 496152; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 2297

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,849,520

Proper Divisor Sum 1,857,216

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #992281 ← → #992309

Radix Representation

Decimal	992304
Binary	11110010010000110000 (20 bits)
Octal	0o3622060
Hexadecimal	0xF2430

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2,297 4,594 6,891 9,188 13,782 18,376 20,673 27,564 36,752 41,346 55,128 62,019 82,692 110,256 124,038 165,384 248,076 330,768 496,152 992,304

Collatz Trajectory (59 steps to reach 1)

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

992,304 496,152 248,076 124,038 62,019 186,058 93,029 279,088 139,544 69,772 34,886 17,443 52,330 26,165 78,496 39,248 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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