3,978,442

2 × 13 × 17 × 9001

3,978,442 factors as 2 × 13 × 17 × 9001. Its 16 positive divisors give a proper-divisor sum of 2,827,070, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 9001

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,805,512

Proper Divisor Sum 2,827,070

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3978433 ← → #3978451

Radix Representation

Decimal	3978442
Binary	1111001011010011001010 (22 bits)
Octal	0o17132312
Hexadecimal	0x3CB4CA

Divisor Catalog (16)

1 2 13 17 26 34 221 442 9,001 18,002 117,013 153,017 234,026 306,034 1,989,221 3,978,442

Collatz Trajectory (66 steps to reach 1)

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

3,978,442 1,989,221 5,967,664 2,983,832 1,491,916 745,958 372,979 1,118,938 559,469 1,678,408 839,204 419,602 209,801 629,404 314,702 157,351 472,054 236,027 708,082 354,041 1,062,124 531,062 265,531 796,594 398,297 1,194,892 597,446 298,723 896,170 448,085 1,344,256 672,128 336,064 168,032 84,016 42,008 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20

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