6,656,325

3 × 5² × 13 × 6827

6,656,325 factors as 3 × 5^2 × 13 × 6827. Its 24 positive divisors give a proper-divisor sum of 5,197,083, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 6827

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,853,408

Proper Divisor Sum 5,197,083

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6656311 ← → #6656339

Radix Representation

Decimal	6656325
Binary	11001011001000101000101 (23 bits)
Octal	0o31310505
Hexadecimal	0x659145

Divisor Catalog (24)

1 3 5 13 15 25 39 65 75 195 325 975 6,827 20,481 34,135 88,751 102,405 170,675 266,253 443,755 512,025 1,331,265 2,218,775 6,656,325

Collatz Trajectory (209 steps to reach 1)

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

6,656,325 19,968,976 9,984,488 4,992,244 2,496,122 1,248,061 3,744,184 1,872,092 936,046 468,023 1,404,070 702,035 2,106,106 1,053,053 3,159,160 1,579,580 789,790 394,895 1,184,686 592,343 1,777,030 888,515 2,665,546 1,332,773 3,998,320 1,999,160 999,580 499,790 249,895 749,686 374,843 1,124,530 562,265 1,686,796 843,398 421,699 1,265,098 632,549 1,897,648 948,824 474,412 237,206 118,603 355,810 177,905 533,716 266,858 133,429 400,288 200,144 100,072 50,036 25,018 12,509 37,528 18,764 9,382 4,691 14,074 7,037

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