6,725,550

2 × 3 × 5² × 13 × 3449

6,725,550 has the prime decomposition 2 × 3 × 5^2 × 13 × 3449. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 13 × 3449

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,967,600

Proper Divisor Sum 11,242,050

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6725549 ← → #6725597

Radix Representation

Decimal	6725550
Binary	11001101001111110101110 (23 bits)
Octal	0o31517656
Hexadecimal	0x669FAE

Divisor Catalog (48)

1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1,950 3,449 6,898 10,347 17,245 20,694 34,490 44,837 51,735 86,225 89,674 103,470 134,511 172,450 224,185 258,675 269,022 448,370 517,350 672,555 1,120,925 1,345,110 2,241,850 3,362,775 6,725,550

Collatz Trajectory (209 steps to reach 1)

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

6,725,550 3,362,775 10,088,326 5,044,163 15,132,490 7,566,245 22,698,736 11,349,368 5,674,684 2,837,342 1,418,671 4,256,014 2,128,007 6,384,022 3,192,011 9,576,034 4,788,017 14,364,052 7,182,026 3,591,013 10,773,040 5,386,520 2,693,260 1,346,630 673,315 2,019,946 1,009,973 3,029,920 1,514,960 757,480 378,740 189,370 94,685 284,056 142,028 71,014 35,507 106,522 53,261 159,784 79,892 39,946 19,973 59,920 29,960 14,980 7,490 3,745 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114

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