6,705,462

2 × 3 × 109 × 10253

Starting at 6,705,462, the Collatz iteration reaches 1 after 165 steps. The first transition is 3352731; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 109 × 10253

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,535,280

Proper Divisor Sum 6,829,818

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6705449 ← → #6705469

Radix Representation

Decimal	6705462
Binary	11001100101000100110110 (23 bits)
Octal	0o31450466
Hexadecimal	0x665136

Divisor Catalog (16)

1 2 3 6 109 218 327 654 10,253 20,506 30,759 61,518 1,117,577 2,235,154 3,352,731 6,705,462

Collatz Trajectory (165 steps to reach 1)

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

6,705,462 3,352,731 10,058,194 5,029,097 15,087,292 7,543,646 3,771,823 11,315,470 5,657,735 16,973,206 8,486,603 25,459,810 12,729,905 38,189,716 19,094,858 9,547,429 28,642,288 14,321,144 7,160,572 3,580,286 1,790,143 5,370,430 2,685,215 8,055,646 4,027,823 12,083,470 6,041,735 18,125,206 9,062,603 27,187,810 13,593,905 40,781,716 20,390,858 10,195,429 30,586,288 15,293,144 7,646,572 3,823,286 1,911,643 5,734,930 2,867,465 8,602,396 4,301,198 2,150,599 6,451,798 3,225,899 9,677,698 4,838,849 14,516,548 7,258,274 3,629,137 10,887,412 5,443,706 2,721,853 8,165,560 4,082,780 2,041,390 1,020,695 3,062,086 1,531,043

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