7,437,788

2² × 829 × 2243

Starting at 7,437,788, the Collatz iteration reaches 1 after 80 steps. The first transition is 3718894; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 829 × 2243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,037,640

Proper Divisor Sum 5,599,852

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7437779 ← → #7437803

Radix Representation

Decimal	7437788
Binary	11100010111110111011100 (23 bits)
Octal	0o34276734
Hexadecimal	0x717DDC

Divisor Catalog (12)

1 2 4 829 1,658 2,243 3,316 4,486 8,972 1,859,447 3,718,894 7,437,788

Collatz Trajectory (80 steps to reach 1)

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

7,437,788 3,718,894 1,859,447 5,578,342 2,789,171 8,367,514 4,183,757 12,551,272 6,275,636 3,137,818 1,568,909 4,706,728 2,353,364 1,176,682 588,341 1,765,024 882,512 441,256 220,628 110,314 55,157 165,472 82,736 41,368 20,684 10,342 5,171 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37

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