1,027,730

2 × 5 × 11 × 9343

1,027,730 factors as 2 × 5 × 11 × 9343. Its 16 positive divisors give a proper-divisor sum of 990,574, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 9343

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,018,304

Proper Divisor Sum 990,574

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1027727 ← → #1027739

Radix Representation

Decimal	1027730
Binary	11111010111010010010 (20 bits)
Octal	0o3727222
Hexadecimal	0xFAE92

Divisor Catalog (16)

1 2 5 10 11 22 55 110 9,343 18,686 46,715 93,430 102,773 205,546 513,865 1,027,730

Collatz Trajectory (196 steps to reach 1)

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

1,027,730 513,865 1,541,596 770,798 385,399 1,156,198 578,099 1,734,298 867,149 2,601,448 1,300,724 650,362 325,181 975,544 487,772 243,886 121,943 365,830 182,915 548,746 274,373 823,120 411,560 205,780 102,890 51,445 154,336 77,168 38,584 19,292 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532

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