6,766,752

2⁵ × 3 × 70487

For 6,766,752, the 24 positive divisors have a total of 17,762,976. Removing 6,766,752 leaves 10,996,224, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3 × 70487

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,762,976

Proper Divisor Sum 10,996,224

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6766751 ← → #6766757

Radix Representation

Decimal	6766752
Binary	11001110100000010100000 (23 bits)
Octal	0o31640240
Hexadecimal	0x6740A0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 70,487 140,974 211,461 281,948 422,922 563,896 845,844 1,127,792 1,691,688 2,255,584 3,383,376 6,766,752

Collatz Trajectory (178 steps to reach 1)

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

6,766,752 3,383,376 1,691,688 845,844 422,922 211,461 634,384 317,192 158,596 79,298 39,649 118,948 59,474 29,737 89,212 44,606 22,303 66,910 33,455 100,366 50,183 150,550 75,275 225,826 112,913 338,740 169,370 84,685 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199

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