3,946,748

2² × 13 × 71 × 1069

3,946,748 factors as 2^2 × 13 × 71 × 1069. Its 24 positive divisors give a proper-divisor sum of 3,603,172, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 71 × 1069

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,549,920

Proper Divisor Sum 3,603,172

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3946741 ← → #3946757

Radix Representation

Decimal	3946748
Binary	1111000011100011111100 (22 bits)
Octal	0o17034374
Hexadecimal	0x3C38FC

Divisor Catalog (24)

Collatz Trajectory (172 steps to reach 1)

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

3,946,748 1,973,374 986,687 2,960,062 1,480,031 4,440,094 2,220,047 6,660,142 3,330,071 9,990,214 4,995,107 14,985,322 7,492,661 22,477,984 11,238,992 5,619,496 2,809,748 1,404,874 702,437 2,107,312 1,053,656 526,828 263,414 131,707 395,122 197,561 592,684 296,342 148,171 444,514 222,257 666,772 333,386 166,693 500,080 250,040 125,020 62,510 31,255 93,766 46,883 140,650 70,325 210,976 105,488 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174

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