3,947,342

2 × 7² × 47 × 857

3,947,342 factors as 2 × 7^2 × 47 × 857. Its 24 positive divisors give a proper-divisor sum of 3,095,122, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 47 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,042,464

Proper Divisor Sum 3,095,122

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3947327 ← → #3947351

Radix Representation

Decimal	3947342
Binary	1111000011101101001110 (22 bits)
Octal	0o17035516
Hexadecimal	0x3C3B4E

Divisor Catalog (24)

Collatz Trajectory (172 steps to reach 1)

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

3,947,342 1,973,671 5,921,014 2,960,507 8,881,522 4,440,761 13,322,284 6,661,142 3,330,571 9,991,714 4,995,857 14,987,572 7,493,786 3,746,893 11,240,680 5,620,340 2,810,170 1,405,085 4,215,256 2,107,628 1,053,814 526,907 1,580,722 790,361 2,371,084 1,185,542 592,771 1,778,314 889,157 2,667,472 1,333,736 666,868 333,434 166,717 500,152 250,076 125,038 62,519 187,558 93,779 281,338 140,669 422,008 211,004 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037

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