7,726,878

2 × 3² × 429271

7,726,878 factors as 2 × 3^2 × 429271. Its 12 positive divisors give a proper-divisor sum of 9,014,730, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 429271

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,741,608

Proper Divisor Sum 9,014,730

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7726837 ← → #7726889

Radix Representation

Decimal	7726878
Binary	11101011110011100011110 (23 bits)
Octal	0o35363436
Hexadecimal	0x75E71E

Divisor Catalog (12)

1 2 3 6 9 18 429,271 858,542 1,287,813 2,575,626 3,863,439 7,726,878

Collatz Trajectory (155 steps to reach 1)

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

7,726,878 3,863,439 11,590,318 5,795,159 17,385,478 8,692,739 26,078,218 13,039,109 39,117,328 19,558,664 9,779,332 4,889,666 2,444,833 7,334,500 3,667,250 1,833,625 5,500,876 2,750,438 1,375,219 4,125,658 2,062,829 6,188,488 3,094,244 1,547,122 773,561 2,320,684 1,160,342 580,171 1,740,514 870,257 2,610,772 1,305,386 652,693 1,958,080 979,040 489,520 244,760 122,380 61,190 30,595 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171

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