6,879,040

2⁶ × 5 × 7 × 37 × 83

6,879,040 factors as 2^6 × 5 × 7 × 37 × 83. Its 112 positive divisors give a proper-divisor sum of 12,579,392, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 37 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 19,458,432

Proper Divisor Sum 12,579,392

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6879023 ← → #6879049

Radix Representation

Decimal	6879040
Binary	11010001111011101000000 (23 bits)
Octal	0o32173500
Hexadecimal	0x68F740

Divisor Catalog (60 of 112)

1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 83 112 140 148 160 166 185 224 259 280 296 320 332 370 415 448 518 560 581 592 664 740 830 1,036 1,120 1,162 1,184 1,295 1,328 1,480 1,660 2,072 2,240 2,324 2,368 2,590 2,656 2,905 2,960 3,071

Collatz Trajectory (103 steps to reach 1)

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

6,879,040 3,439,520 1,719,760 859,880 429,940 214,970 107,485 322,456 161,228 80,614 40,307 120,922 60,461 181,384 90,692 45,346 22,673 68,020 34,010 17,005 51,016 25,508 12,754 6,377 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280

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