9,980,352

2⁶ × 3² × 17327

9,980,352 factors as 2^6 × 3^2 × 17327. Its 42 positive divisors give a proper-divisor sum of 18,628,176, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 17327

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 28,608,528

Proper Divisor Sum 18,628,176

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9980351 ← → #9980363

Radix Representation

Decimal	9980352
Binary	100110000100100111000000 (24 bits)
Octal	0o46044700
Hexadecimal	0x9849C0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 17,327 34,654 51,981 69,308 103,962 138,616 155,943 207,924 277,232 311,886 415,848 554,464 623,772 831,696 1,108,928 1,247,544 1,663,392 2,495,088 3,326,784 4,990,176 9,980,352

Collatz Trajectory (207 steps to reach 1)

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

9,980,352 4,990,176 2,495,088 1,247,544 623,772 311,886 155,943 467,830 233,915 701,746 350,873 1,052,620 526,310 263,155 789,466 394,733 1,184,200 592,100 296,050 148,025 444,076 222,038 111,019 333,058 166,529 499,588 249,794 124,897 374,692 187,346 93,673 281,020 140,510 70,255 210,766 105,383 316,150 158,075 474,226 237,113 711,340 355,670 177,835 533,506 266,753 800,260 400,130 200,065 600,196 300,098 150,049 450,148 225,074 112,537 337,612 168,806 84,403 253,210 126,605 379,816

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