7,809,702

2 × 3 × 1301617

Starting at 7,809,702, the Collatz iteration reaches 1 after 129 steps. The first transition is 3904851; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1301617

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,619,416

Proper Divisor Sum 7,809,714

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7809691 ← → #7809707

Radix Representation

Decimal	7809702
Binary	11101110010101010100110 (23 bits)
Octal	0o35625246
Hexadecimal	0x772AA6

Divisor Catalog (8)

1 2 3 6 1,301,617 2,603,234 3,904,851 7,809,702

Collatz Trajectory (129 steps to reach 1)

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

7,809,702 3,904,851 11,714,554 5,857,277 17,571,832 8,785,916 4,392,958 2,196,479 6,589,438 3,294,719 9,884,158 4,942,079 14,826,238 7,413,119 22,239,358 11,119,679 33,359,038 16,679,519 50,038,558 25,019,279 75,057,838 37,528,919 112,586,758 56,293,379 168,880,138 84,440,069 253,320,208 126,660,104 63,330,052 31,665,026 15,832,513 47,497,540 23,748,770 11,874,385 35,623,156 17,811,578 8,905,789 26,717,368 13,358,684 6,679,342 3,339,671 10,019,014 5,009,507 15,028,522 7,514,261 22,542,784 11,271,392 5,635,696 2,817,848 1,408,924 704,462 352,231 1,056,694 528,347 1,585,042 792,521 2,377,564 1,188,782 594,391 1,783,174

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