9,582,732

2² × 3³ × 88729

Starting at 9,582,732, the Collatz iteration reaches 1 after 238 steps. The first transition is 4791366; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 88729

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 24,844,400

Proper Divisor Sum 15,261,668

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9582701 ← → #9582757

Radix Representation

Decimal	9582732
Binary	100100100011100010001100 (24 bits)
Octal	0o44434214
Hexadecimal	0x92388C

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 88,729 177,458 266,187 354,916 532,374 798,561 1,064,748 1,597,122 2,395,683 3,194,244 4,791,366 9,582,732

Collatz Trajectory (238 steps to reach 1)

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

9,582,732 4,791,366 2,395,683 7,187,050 3,593,525 10,780,576 5,390,288 2,695,144 1,347,572 673,786 336,893 1,010,680 505,340 252,670 126,335 379,006 189,503 568,510 284,255 852,766 426,383 1,279,150 639,575 1,918,726 959,363 2,878,090 1,439,045 4,317,136 2,158,568 1,079,284 539,642 269,821 809,464 404,732 202,366 101,183 303,550 151,775 455,326 227,663 682,990 341,495 1,024,486 512,243 1,536,730 768,365 2,305,096 1,152,548 576,274 288,137 864,412 432,206 216,103 648,310 324,155 972,466 486,233 1,458,700 729,350 364,675

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