8,643,915

3⁴ × 5 × 7 × 3049

Starting at 8,643,915, the Collatz iteration reaches 1 after 119 steps. The first transition is 25931746; the starting value is odd with 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 3049

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,714,400

Proper Divisor Sum 9,070,485

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8643893 ← → #8643919

Radix Representation

Decimal	8643915
Binary	100000111110010101001011 (24 bits)
Octal	0o40762513
Hexadecimal	0x83E54B

Divisor Catalog (40)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2,835 3,049 9,147 15,245 21,343 27,441 45,735 64,029 82,323 106,715 137,205 192,087 246,969 320,145 411,615 576,261 960,435 1,234,845 1,728,783 2,881,305 8,643,915

Collatz Trajectory (119 steps to reach 1)

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

8,643,915 25,931,746 12,965,873 38,897,620 19,448,810 9,724,405 29,173,216 14,586,608 7,293,304 3,646,652 1,823,326 911,663 2,734,990 1,367,495 4,102,486 2,051,243 6,153,730 3,076,865 9,230,596 4,615,298 2,307,649 6,922,948 3,461,474 1,730,737 5,192,212 2,596,106 1,298,053 3,894,160 1,947,080 973,540 486,770 243,385 730,156 365,078 182,539 547,618 273,809 821,428 410,714 205,357 616,072 308,036 154,018 77,009 231,028 115,514 57,757 173,272 86,636 43,318 21,659 64,978 32,489 97,468 48,734 24,367 73,102 36,551 109,654 54,827

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