7,738,296

2³ × 3 × 322429

Starting at 7,738,296, the Collatz iteration reaches 1 after 142 steps. The first transition is 3869148; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 322429

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,345,800

Proper Divisor Sum 11,607,504

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7738271 ← → #7738303

Radix Representation

Decimal	7738296
Binary	11101100001001110111000 (23 bits)
Octal	0o35411670
Hexadecimal	0x7613B8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 322,429 644,858 967,287 1,289,716 1,934,574 2,579,432 3,869,148 7,738,296

Collatz Trajectory (142 steps to reach 1)

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

7,738,296 3,869,148 1,934,574 967,287 2,901,862 1,450,931 4,352,794 2,176,397 6,529,192 3,264,596 1,632,298 816,149 2,448,448 1,224,224 612,112 306,056 153,028 76,514 38,257 114,772 57,386 28,693 86,080 43,040 21,520 10,760 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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