7,904,302

2 × 7 × 564593

Starting at 7,904,302, the Collatz iteration reaches 1 after 199 steps. The first transition is 3952151; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 564593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,550,256

Proper Divisor Sum 5,645,954

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7904297 ← → #7904311

Radix Representation

Decimal	7904302
Binary	11110001001110000101110 (23 bits)
Octal	0o36116056
Hexadecimal	0x789C2E

Divisor Catalog (8)

1 2 7 14 564,593 1,129,186 3,952,151 7,904,302

Collatz Trajectory (199 steps to reach 1)

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

7,904,302 3,952,151 11,856,454 5,928,227 17,784,682 8,892,341 26,677,024 13,338,512 6,669,256 3,334,628 1,667,314 833,657 2,500,972 1,250,486 625,243 1,875,730 937,865 2,813,596 1,406,798 703,399 2,110,198 1,055,099 3,165,298 1,582,649 4,747,948 2,373,974 1,186,987 3,560,962 1,780,481 5,341,444 2,670,722 1,335,361 4,006,084 2,003,042 1,001,521 3,004,564 1,502,282 751,141 2,253,424 1,126,712 563,356 281,678 140,839 422,518 211,259 633,778 316,889 950,668 475,334 237,667 713,002 356,501 1,069,504 534,752 267,376 133,688 66,844 33,422 16,711 50,134

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