8,305,592

2³ × 1038199

Starting at 8,305,592, the Collatz iteration reaches 1 after 80 steps. The first transition is 4152796; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1038199

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,573,000

Proper Divisor Sum 7,267,408

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8305589 ← → #8305597

Radix Representation

Decimal	8305592
Binary	11111101011101110111000 (23 bits)
Octal	0o37535670
Hexadecimal	0x7EBBB8

Divisor Catalog (8)

1 2 4 8 1,038,199 2,076,398 4,152,796 8,305,592

Collatz Trajectory (80 steps to reach 1)

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

8,305,592 4,152,796 2,076,398 1,038,199 3,114,598 1,557,299 4,671,898 2,335,949 7,007,848 3,503,924 1,751,962 875,981 2,627,944 1,313,972 656,986 328,493 985,480 492,740 246,370 123,185 369,556 184,778 92,389 277,168 138,584 69,292 34,646 17,323 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244

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