9,936,772

2² × 17 × 19 × 7691

Starting at 9,936,772, the Collatz iteration reaches 1 after 88 steps. The first transition is 4968386; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 19 × 7691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,383,840

Proper Divisor Sum 9,447,068

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9936739 ← → #9936779

Radix Representation

Decimal	9936772
Binary	100101111001111110000100 (24 bits)
Octal	0o45717604
Hexadecimal	0x979F84

Divisor Catalog (24)

1 2 4 17 19 34 38 68 76 323 646 1,292 7,691 15,382 30,764 130,747 146,129 261,494 292,258 522,988 584,516 2,484,193 4,968,386 9,936,772

Collatz Trajectory (88 steps to reach 1)

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

9,936,772 4,968,386 2,484,193 7,452,580 3,726,290 1,863,145 5,589,436 2,794,718 1,397,359 4,192,078 2,096,039 6,288,118 3,144,059 9,432,178 4,716,089 14,148,268 7,074,134 3,537,067 10,611,202 5,305,601 15,916,804 7,958,402 3,979,201 11,937,604 5,968,802 2,984,401 8,953,204 4,476,602 2,238,301 6,714,904 3,357,452 1,678,726 839,363 2,518,090 1,259,045 3,777,136 1,888,568 944,284 472,142 236,071 708,214 354,107 1,062,322 531,161 1,593,484 796,742 398,371 1,195,114 597,557 1,792,672 896,336 448,168 224,084 112,042 56,021 168,064 84,032 42,016 21,008 10,504

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