3,407,293

17 × 37 × 5417

3,407,293 factors as 17 × 37 × 5417. Its 8 positive divisors give a proper-divisor sum of 298,619, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 17 × 37 × 5417

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,705,912

Proper Divisor Sum 298,619

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3407281 ← → #3407311

Radix Representation

Decimal	3407293
Binary	1100111111110110111101 (22 bits)
Octal	0o14776675
Hexadecimal	0x33FDBD

Divisor Catalog (8)

1 17 37 629 5,417 92,089 200,429 3,407,293

Collatz Trajectory (128 steps to reach 1)

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

3,407,293 10,221,880 5,110,940 2,555,470 1,277,735 3,833,206 1,916,603 5,749,810 2,874,905 8,624,716 4,312,358 2,156,179 6,468,538 3,234,269 9,702,808 4,851,404 2,425,702 1,212,851 3,638,554 1,819,277 5,457,832 2,728,916 1,364,458 682,229 2,046,688 1,023,344 511,672 255,836 127,918 63,959 191,878 95,939 287,818 143,909 431,728 215,864 107,932 53,966 26,983 80,950 40,475 121,426 60,713 182,140 91,070 45,535 136,606 68,303 204,910 102,455 307,366 153,683 461,050 230,525 691,576 345,788 172,894 86,447 259,342 129,671

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