8,348,963

7³ × 101 × 241

Starting at 8,348,963, the Collatz iteration reaches 1 after 137 steps. The first transition is 25046890; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7^3 × 101 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,873,600

Proper Divisor Sum 1,524,637

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8348947 ← → #8348969

Radix Representation

Decimal	8348963
Binary	11111110110010100100011 (23 bits)
Octal	0o37662443
Hexadecimal	0x7F6523

Divisor Catalog (16)

1 7 49 101 241 343 707 1,687 4,949 11,809 24,341 34,643 82,663 170,387 1,192,709 8,348,963

Collatz Trajectory (137 steps to reach 1)

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

8,348,963 25,046,890 12,523,445 37,570,336 18,785,168 9,392,584 4,696,292 2,348,146 1,174,073 3,522,220 1,761,110 880,555 2,641,666 1,320,833 3,962,500 1,981,250 990,625 2,971,876 1,485,938 742,969 2,228,908 1,114,454 557,227 1,671,682 835,841 2,507,524 1,253,762 626,881 1,880,644 940,322 470,161 1,410,484 705,242 352,621 1,057,864 528,932 264,466 132,233 396,700 198,350 99,175 297,526 148,763 446,290 223,145 669,436 334,718 167,359 502,078 251,039 753,118 376,559 1,129,678 564,839 1,694,518 847,259 2,541,778 1,270,889 3,812,668 1,906,334

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