6,737,315

5 × 13 × 103651

Starting at 6,737,315, the Collatz iteration reaches 1 after 147 steps. The first transition is 20211946; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 103651

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,706,768

Proper Divisor Sum 1,969,453

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6737303 ← → #6737317

Radix Representation

Decimal	6737315
Binary	11001101100110110100011 (23 bits)
Octal	0o31546643
Hexadecimal	0x66CDA3

Divisor Catalog (8)

1 5 13 65 103,651 518,255 1,347,463 6,737,315

Collatz Trajectory (147 steps to reach 1)

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

6,737,315 20,211,946 10,105,973 30,317,920 15,158,960 7,579,480 3,789,740 1,894,870 947,435 2,842,306 1,421,153 4,263,460 2,131,730 1,065,865 3,197,596 1,598,798 799,399 2,398,198 1,199,099 3,597,298 1,798,649 5,395,948 2,697,974 1,348,987 4,046,962 2,023,481 6,070,444 3,035,222 1,517,611 4,552,834 2,276,417 6,829,252 3,414,626 1,707,313 5,121,940 2,560,970 1,280,485 3,841,456 1,920,728 960,364 480,182 240,091 720,274 360,137 1,080,412 540,206 270,103 810,310 405,155 1,215,466 607,733 1,823,200 911,600 455,800 227,900 113,950 56,975 170,926 85,463 256,390

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