3,608,097

3 × 17 × 263 × 269

3,608,097 factors as 3 × 17 × 263 × 269. Its 16 positive divisors give a proper-divisor sum of 1,524,063, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3 × 17 × 263 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,132,160

Proper Divisor Sum 1,524,063

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3608071 ← → #3608117

Radix Representation

Decimal	3608097
Binary	1101110000111000100001 (22 bits)
Octal	0o15607041
Hexadecimal	0x370E21

Divisor Catalog (16)

1 3 17 51 263 269 789 807 4,471 4,573 13,413 13,719 70,747 212,241 1,202,699 3,608,097

Collatz Trajectory (172 steps to reach 1)

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

3,608,097 10,824,292 5,412,146 2,706,073 8,118,220 4,059,110 2,029,555 6,088,666 3,044,333 9,133,000 4,566,500 2,283,250 1,141,625 3,424,876 1,712,438 856,219 2,568,658 1,284,329 3,852,988 1,926,494 963,247 2,889,742 1,444,871 4,334,614 2,167,307 6,501,922 3,250,961 9,752,884 4,876,442 2,438,221 7,314,664 3,657,332 1,828,666 914,333 2,743,000 1,371,500 685,750 342,875 1,028,626 514,313 1,542,940 771,470 385,735 1,157,206 578,603 1,735,810 867,905 2,603,716 1,301,858 650,929 1,952,788 976,394 488,197 1,464,592 732,296 366,148 183,074 91,537 274,612 137,306

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