9,920,350

2 × 5² × 11 × 17 × 1061

Starting at 9,920,350, the Collatz iteration reaches 1 after 176 steps. The first transition is 4960175; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 17 × 1061

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,333,456

Proper Divisor Sum 11,413,106

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9920347 ← → #9920353

Radix Representation

Decimal	9920350
Binary	100101110101111101011110 (24 bits)
Octal	0o45657536
Hexadecimal	0x975F5E

Divisor Catalog (48)

1 2 5 10 11 17 22 25 34 50 55 85 110 170 187 275 374 425 550 850 935 1,061 1,870 2,122 4,675 5,305 9,350 10,610 11,671 18,037 23,342 26,525 36,074 53,050 58,355 90,185 116,710 180,370 198,407 291,775 396,814 450,925 583,550 901,850 992,035 1,984,070 4,960,175 9,920,350

Collatz Trajectory (176 steps to reach 1)

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

9,920,350 4,960,175 14,880,526 7,440,263 22,320,790 11,160,395 33,481,186 16,740,593 50,221,780 25,110,890 12,555,445 37,666,336 18,833,168 9,416,584 4,708,292 2,354,146 1,177,073 3,531,220 1,765,610 882,805 2,648,416 1,324,208 662,104 331,052 165,526 82,763 248,290 124,145 372,436 186,218 93,109 279,328 139,664 69,832 34,916 17,458 8,729 26,188 13,094 6,547 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292

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