6,920,638

2 × 3460319

Starting at 6,920,638, the Collatz iteration reaches 1 after 116 steps. The first transition is 3460319; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3460319

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,380,960

Proper Divisor Sum 3,460,322

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6920629 ← → #6920651

Radix Representation

Decimal	6920638
Binary	11010011001100110111110 (23 bits)
Octal	0o32314676
Hexadecimal	0x6999BE

Divisor Catalog (4)

1 2 3,460,319 6,920,638

Collatz Trajectory (116 steps to reach 1)

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

6,920,638 3,460,319 10,380,958 5,190,479 15,571,438 7,785,719 23,357,158 11,678,579 35,035,738 17,517,869 52,553,608 26,276,804 13,138,402 6,569,201 19,707,604 9,853,802 4,926,901 14,780,704 7,390,352 3,695,176 1,847,588 923,794 461,897 1,385,692 692,846 346,423 1,039,270 519,635 1,558,906 779,453 2,338,360 1,169,180 584,590 292,295 876,886 438,443 1,315,330 657,665 1,972,996 986,498 493,249 1,479,748 739,874 369,937 1,109,812 554,906 277,453 832,360 416,180 208,090 104,045 312,136 156,068 78,034 39,017 117,052 58,526 29,263 87,790 43,895

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