6,762,040

2³ × 5 × 71 × 2381

For 6,762,040, the 32 positive divisors have a total of 15,435,360. Removing 6,762,040 leaves 8,673,320, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 71 × 2381

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,435,360

Proper Divisor Sum 8,673,320

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6762037 ← → #6762071

Radix Representation

Decimal	6762040
Binary	11001110010111000111000 (23 bits)
Octal	0o31627070
Hexadecimal	0x672E38

Divisor Catalog (32)

1 2 4 5 8 10 20 40 71 142 284 355 568 710 1,420 2,381 2,840 4,762 9,524 11,905 19,048 23,810 47,620 95,240 169,051 338,102 676,204 845,255 1,352,408 1,690,510 3,381,020 6,762,040

Collatz Trajectory (85 steps to reach 1)

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

6,762,040 3,381,020 1,690,510 845,255 2,535,766 1,267,883 3,803,650 1,901,825 5,705,476 2,852,738 1,426,369 4,279,108 2,139,554 1,069,777 3,209,332 1,604,666 802,333 2,407,000 1,203,500 601,750 300,875 902,626 451,313 1,353,940 676,970 338,485 1,015,456 507,728 253,864 126,932 63,466 31,733 95,200 47,600 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192

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