6,764,736

2⁶ × 3 × 11 × 3203

6,764,736 has digital root 3. The neighboring primes are 6764729 and 6764753; its proper-divisor sum differs from the starting integer by 6,002,112.

Prime Factor Structure

Factorization String 2^6 × 3 × 11 × 3203

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 19,531,584

Proper Divisor Sum 12,766,848

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6764729 ← → #6764753

Radix Representation

Decimal	6764736
Binary	11001110011100011000000 (23 bits)
Octal	0o31634300
Hexadecimal	0x6738C0

Divisor Catalog (56)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1,056 2,112 3,203 6,406 9,609 12,812 19,218 25,624 35,233 38,436 51,248 70,466 76,872 102,496 105,699 140,932 153,744 204,992 211,398 281,864 307,488 422,796 563,728 614,976 845,592 1,127,456 1,691,184 2,254,912 3,382,368 6,764,736

Collatz Trajectory (147 steps to reach 1)

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

6,764,736 3,382,368 1,691,184 845,592 422,796 211,398 105,699 317,098 158,549 475,648 237,824 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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