3,693,747

3 × 37 × 107 × 311

3,693,747 factors as 3 × 37 × 107 × 311. Its 16 positive divisors give a proper-divisor sum of 1,428,045, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 3 × 37 × 107 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,121,792

Proper Divisor Sum 1,428,045

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3693737 ← → #3693761

Radix Representation

Decimal	3693747
Binary	1110000101110010110011 (22 bits)
Octal	0o16056263
Hexadecimal	0x385CB3

Divisor Catalog (16)

1 3 37 107 111 311 321 933 3,959 11,507 11,877 33,277 34,521 99,831 1,231,249 3,693,747

Collatz Trajectory (234 steps to reach 1)

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

3,693,747 11,081,242 5,540,621 16,621,864 8,310,932 4,155,466 2,077,733 6,233,200 3,116,600 1,558,300 779,150 389,575 1,168,726 584,363 1,753,090 876,545 2,629,636 1,314,818 657,409 1,972,228 986,114 493,057 1,479,172 739,586 369,793 1,109,380 554,690 277,345 832,036 416,018 208,009 624,028 312,014 156,007 468,022 234,011 702,034 351,017 1,053,052 526,526 263,263 789,790 394,895 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

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