7,339,736

2³ × 397 × 2311

Starting at 7,339,736, the Collatz iteration reaches 1 after 235 steps. The first transition is 3669868; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 397 × 2311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,802,640

Proper Divisor Sum 6,462,904

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7339729 ← → #7339751

Radix Representation

Decimal	7339736
Binary	11011111111111011011000 (23 bits)
Octal	0o33777330
Hexadecimal	0x6FFED8

Divisor Catalog (16)

1 2 4 8 397 794 1,588 2,311 3,176 4,622 9,244 18,488 917,467 1,834,934 3,669,868 7,339,736

Collatz Trajectory (235 steps to reach 1)

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

7,339,736 3,669,868 1,834,934 917,467 2,752,402 1,376,201 4,128,604 2,064,302 1,032,151 3,096,454 1,548,227 4,644,682 2,322,341 6,967,024 3,483,512 1,741,756 870,878 435,439 1,306,318 653,159 1,959,478 979,739 2,939,218 1,469,609 4,408,828 2,204,414 1,102,207 3,306,622 1,653,311 4,959,934 2,479,967 7,439,902 3,719,951 11,159,854 5,579,927 16,739,782 8,369,891 25,109,674 12,554,837 37,664,512 18,832,256 9,416,128 4,708,064 2,354,032 1,177,016 588,508 294,254 147,127 441,382 220,691 662,074 331,037 993,112 496,556 248,278 124,139 372,418 186,209 558,628 279,314

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