8,287,748

2² × 7 × 347 × 853

Starting at 8,287,748, the Collatz iteration reaches 1 after 186 steps. The first transition is 4143874; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 347 × 853

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,642,752

Proper Divisor Sum 8,355,004

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #8287729 ← → #8287793

Radix Representation

Decimal	8287748
Binary	11111100111011000000100 (23 bits)
Octal	0o37473004
Hexadecimal	0x7E7604

Divisor Catalog (24)

1 2 4 7 14 28 347 694 853 1,388 1,706 2,429 3,412 4,858 5,971 9,716 11,942 23,884 295,991 591,982 1,183,964 2,071,937 4,143,874 8,287,748

Collatz Trajectory (186 steps to reach 1)

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

8,287,748 4,143,874 2,071,937 6,215,812 3,107,906 1,553,953 4,661,860 2,330,930 1,165,465 3,496,396 1,748,198 874,099 2,622,298 1,311,149 3,933,448 1,966,724 983,362 491,681 1,475,044 737,522 368,761 1,106,284 553,142 276,571 829,714 414,857 1,244,572 622,286 311,143 933,430 466,715 1,400,146 700,073 2,100,220 1,050,110 525,055 1,575,166 787,583 2,362,750 1,181,375 3,544,126 1,772,063 5,316,190 2,658,095 7,974,286 3,987,143 11,961,430 5,980,715 17,942,146 8,971,073 26,913,220 13,456,610 6,728,305 20,184,916 10,092,458 5,046,229 15,138,688 7,569,344 3,784,672 1,892,336

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