9,286,944

2⁵ × 3 × 96739

Starting at 9,286,944, the Collatz iteration reaches 1 after 194 steps. The first transition is 4643472; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 96739

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 24,378,480

Proper Divisor Sum 15,091,536

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9286943 ← → #9286957

Radix Representation

Decimal	9286944
Binary	100011011011010100100000 (24 bits)
Octal	0o43332440
Hexadecimal	0x8DB520

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 96,739 193,478 290,217 386,956 580,434 773,912 1,160,868 1,547,824 2,321,736 3,095,648 4,643,472 9,286,944

Collatz Trajectory (194 steps to reach 1)

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

9,286,944 4,643,472 2,321,736 1,160,868 580,434 290,217 870,652 435,326 217,663 652,990 326,495 979,486 489,743 1,469,230 734,615 2,203,846 1,101,923 3,305,770 1,652,885 4,958,656 2,479,328 1,239,664 619,832 309,916 154,958 77,479 232,438 116,219 348,658 174,329 522,988 261,494 130,747 392,242 196,121 588,364 294,182 147,091 441,274 220,637 661,912 330,956 165,478 82,739 248,218 124,109 372,328 186,164 93,082 46,541 139,624 69,812 34,906 17,453 52,360 26,180 13,090 6,545 19,636 9,818

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