8,347,628

2² × 2086907

Starting at 8,347,628, the Collatz iteration reaches 1 after 137 steps. The first transition is 4173814; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 2086907

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 14,608,356

Proper Divisor Sum 6,260,728

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8347609 ← → #8347657

Radix Representation

Decimal	8347628
Binary	11111110101111111101100 (23 bits)
Octal	0o37657754
Hexadecimal	0x7F5FEC

Divisor Catalog (6)

1 2 4 2,086,907 4,173,814 8,347,628

Collatz Trajectory (137 steps to reach 1)

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

8,347,628 4,173,814 2,086,907 6,260,722 3,130,361 9,391,084 4,695,542 2,347,771 7,043,314 3,521,657 10,564,972 5,282,486 2,641,243 7,923,730 3,961,865 11,885,596 5,942,798 2,971,399 8,914,198 4,457,099 13,371,298 6,685,649 20,056,948 10,028,474 5,014,237 15,042,712 7,521,356 3,760,678 1,880,339 5,641,018 2,820,509 8,461,528 4,230,764 2,115,382 1,057,691 3,173,074 1,586,537 4,759,612 2,379,806 1,189,903 3,569,710 1,784,855 5,354,566 2,677,283 8,031,850 4,015,925 12,047,776 6,023,888 3,011,944 1,505,972 752,986 376,493 1,129,480 564,740 282,370 141,185 423,556 211,778 105,889 317,668

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