3,946,789

7 × 11 × 51257

3,946,789 factors as 7 × 11 × 51257. Its 8 positive divisors give a proper-divisor sum of 973,979, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 7 × 11 × 51257

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,920,768

Proper Divisor Sum 973,979

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #3946763 ← → #3946793

Radix Representation

Decimal	3946789
Binary	1111000011100100100101 (22 bits)
Octal	0o17034445
Hexadecimal	0x3C3925

Divisor Catalog (8)

1 7 11 77 51,257 358,799 563,827 3,946,789

Collatz Trajectory (172 steps to reach 1)

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

3,946,789 11,840,368 5,920,184 2,960,092 1,480,046 740,023 2,220,070 1,110,035 3,330,106 1,665,053 4,995,160 2,497,580 1,248,790 624,395 1,873,186 936,593 2,809,780 1,404,890 702,445 2,107,336 1,053,668 526,834 263,417 790,252 395,126 197,563 592,690 296,345 889,036 444,518 222,259 666,778 333,389 1,000,168 500,084 250,042 125,021 375,064 187,532 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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