7,714,206

2 × 3² × 428567

Starting at 7,714,206, the Collatz iteration reaches 1 after 124 steps. The first transition is 3857103; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 428567

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,714,152

Proper Divisor Sum 8,999,946

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7714193 ← → #7714207

Radix Representation

Decimal	7714206
Binary	11101011011010110011110 (23 bits)
Octal	0o35332636
Hexadecimal	0x75B59E

Divisor Catalog (12)

1 2 3 6 9 18 428,567 857,134 1,285,701 2,571,402 3,857,103 7,714,206

Collatz Trajectory (124 steps to reach 1)

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

7,714,206 3,857,103 11,571,310 5,785,655 17,356,966 8,678,483 26,035,450 13,017,725 39,053,176 19,526,588 9,763,294 4,881,647 14,644,942 7,322,471 21,967,414 10,983,707 32,951,122 16,475,561 49,426,684 24,713,342 12,356,671 37,070,014 18,535,007 55,605,022 27,802,511 83,407,534 41,703,767 125,111,302 62,555,651 187,666,954 93,833,477 281,500,432 140,750,216 70,375,108 35,187,554 17,593,777 52,781,332 26,390,666 13,195,333 39,586,000 19,793,000 9,896,500 4,948,250 2,474,125 7,422,376 3,711,188 1,855,594 927,797 2,783,392 1,391,696 695,848 347,924 173,962 86,981 260,944 130,472 65,236 32,618 16,309 48,928

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