9,794,736

2⁴ × 3³ × 7 × 41 × 79

Starting at 9,794,736, the Collatz iteration reaches 1 after 88 steps. The first transition is 4897368; the starting value is even with 160 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 41 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 33,331,200

Proper Divisor Sum 23,536,464

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9794723 ← → #9794749

Radix Representation

Decimal	9794736
Binary	100101010111010010110000 (24 bits)
Octal	0o45272260
Hexadecimal	0x9574B0

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 79 82 84 108 112 123 126 144 158 164 168 189 216 237 246 252 287 316 328 336 369 378 432 474 492 504 553 574 632 656 711 738 756 861 948 984

Collatz Trajectory (88 steps to reach 1)

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

9,794,736 4,897,368 2,448,684 1,224,342 612,171 1,836,514 918,257 2,754,772 1,377,386 688,693 2,066,080 1,033,040 516,520 258,260 129,130 64,565 193,696 96,848 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732

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