3,940,642

2 × 71 × 27751

3,940,642 factors as 2 × 71 × 27751. Its 8 positive divisors give a proper-divisor sum of 2,053,790, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 71 × 27751

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,994,432

Proper Divisor Sum 2,053,790

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3940637 ← → #3940663

Radix Representation

Decimal	3940642
Binary	1111000010000100100010 (22 bits)
Octal	0o17020442
Hexadecimal	0x3C2122

Divisor Catalog (8)

1 2 71 142 27,751 55,502 1,970,321 3,940,642

Collatz Trajectory (185 steps to reach 1)

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

3,940,642 1,970,321 5,910,964 2,955,482 1,477,741 4,433,224 2,216,612 1,108,306 554,153 1,662,460 831,230 415,615 1,246,846 623,423 1,870,270 935,135 2,805,406 1,402,703 4,208,110 2,104,055 6,312,166 3,156,083 9,468,250 4,734,125 14,202,376 7,101,188 3,550,594 1,775,297 5,325,892 2,662,946 1,331,473 3,994,420 1,997,210 998,605 2,995,816 1,497,908 748,954 374,477 1,123,432 561,716 280,858 140,429 421,288 210,644 105,322 52,661 157,984 78,992 39,496 19,748 9,874 4,937 14,812 7,406 3,703 11,110 5,555 16,666 8,333 25,000

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