6,705,673

13 × 23 × 41 × 547

Starting at 6,705,673, the Collatz iteration reaches 1 after 116 steps. The first transition is 20117020; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 23 × 41 × 547

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,733,376

Proper Divisor Sum 1,027,703

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6705661 ← → #6705697

Radix Representation

Decimal	6705673
Binary	11001100101001000001001 (23 bits)
Octal	0o31451011
Hexadecimal	0x665209

Divisor Catalog (16)

1 13 23 41 299 533 547 943 7,111 12,259 12,581 22,427 163,553 291,551 515,821 6,705,673

Collatz Trajectory (116 steps to reach 1)

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

6,705,673 20,117,020 10,058,510 5,029,255 15,087,766 7,543,883 22,631,650 11,315,825 33,947,476 16,973,738 8,486,869 25,460,608 12,730,304 6,365,152 3,182,576 1,591,288 795,644 397,822 198,911 596,734 298,367 895,102 447,551 1,342,654 671,327 2,013,982 1,006,991 3,020,974 1,510,487 4,531,462 2,265,731 6,797,194 3,398,597 10,195,792 5,097,896 2,548,948 1,274,474 637,237 1,911,712 955,856 477,928 238,964 119,482 59,741 179,224 89,612 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090

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