8,308,762

2 × 7 × 11 × 163 × 331

Starting at 8,308,762, the Collatz iteration reaches 1 after 186 steps. The first transition is 4154381; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 163 × 331

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,681,024

Proper Divisor Sum 7,372,262

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8308759 ← → #8308763

Radix Representation

Decimal	8308762
Binary	11111101100100000011010 (23 bits)
Octal	0o37544032
Hexadecimal	0x7EC81A

Divisor Catalog (32)

1 2 7 11 14 22 77 154 163 326 331 662 1,141 1,793 2,282 2,317 3,586 3,641 4,634 7,282 12,551 25,102 25,487 50,974 53,953 107,906 377,671 593,483 755,342 1,186,966 4,154,381 8,308,762

Collatz Trajectory (186 steps to reach 1)

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

8,308,762 4,154,381 12,463,144 6,231,572 3,115,786 1,557,893 4,673,680 2,336,840 1,168,420 584,210 292,105 876,316 438,158 219,079 657,238 328,619 985,858 492,929 1,478,788 739,394 369,697 1,109,092 554,546 277,273 831,820 415,910 207,955 623,866 311,933 935,800 467,900 233,950 116,975 350,926 175,463 526,390 263,195 789,586 394,793 1,184,380 592,190 296,095 888,286 444,143 1,332,430 666,215 1,998,646 999,323 2,997,970 1,498,985 4,496,956 2,248,478 1,124,239 3,372,718 1,686,359 5,059,078 2,529,539 7,588,618 3,794,309 11,382,928

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