3,936,723

3 × 7 × 187463

3,936,723 factors as 3 × 7 × 187463. Its 8 positive divisors give a proper-divisor sum of 2,062,125, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3 × 7 × 187463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,998,848

Proper Divisor Sum 2,062,125

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3936683 ← → #3936727

Radix Representation

Decimal	3936723
Binary	1111000001000111010011 (22 bits)
Octal	0o17010723
Hexadecimal	0x3C11D3

Divisor Catalog (8)

1 3 7 21 187,463 562,389 1,312,241 3,936,723

Collatz Trajectory (123 steps to reach 1)

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

3,936,723 11,810,170 5,905,085 17,715,256 8,857,628 4,428,814 2,214,407 6,643,222 3,321,611 9,964,834 4,982,417 14,947,252 7,473,626 3,736,813 11,210,440 5,605,220 2,802,610 1,401,305 4,203,916 2,101,958 1,050,979 3,152,938 1,576,469 4,729,408 2,364,704 1,182,352 591,176 295,588 147,794 73,897 221,692 110,846 55,423 166,270 83,135 249,406 124,703 374,110 187,055 561,166 280,583 841,750 420,875 1,262,626 631,313 1,893,940 946,970 473,485 1,420,456 710,228 355,114 177,557 532,672 266,336 133,168 66,584 33,292 16,646 8,323 24,970

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