λ
Integer Codex

3,936,442

2 × 31 × 173 × 367
Deficient Even Composite

For 3,936,442, the 16 positive divisors have a total of 6,147,072. Removing 3,936,442 leaves 2,210,630, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 31 × 173 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,147,072
Proper Divisor Sum 2,210,630
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3936437 ← → #3936463

Radix Representation

Decimal 3936442
Binary 1111000001000010111010 (22 bits)
Octal 0o17010272
Hexadecimal 0x3C10BA

Divisor Catalog (16)

1 2 31 62 173 346 367 734 5,363 10,726 11,377 22,754 63,491 126,982 1,968,221 3,936,442

Collatz Trajectory (66 steps to reach 1)

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

3,936,442 1,968,221 5,904,664 2,952,332 1,476,166 738,083 2,214,250 1,107,125 3,321,376 1,660,688 830,344 415,172 207,586 103,793 311,380 155,690 77,845 233,536 116,768 58,384 29,192 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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