3,928,309

7 × 11 × 17 × 3001

3,928,309 factors as 7 × 11 × 17 × 3001. Its 16 positive divisors give a proper-divisor sum of 1,259,147, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 7 × 11 × 17 × 3001

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,187,456

Proper Divisor Sum 1,259,147

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3928303 ← → #3928313

Radix Representation

Decimal	3928309
Binary	1110111111000011110101 (22 bits)
Octal	0o16770365
Hexadecimal	0x3BF0F5

Divisor Catalog (16)

1 7 11 17 77 119 187 1,309 3,001 21,007 33,011 51,017 231,077 357,119 561,187 3,928,309

Collatz Trajectory (141 steps to reach 1)

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

3,928,309 11,784,928 5,892,464 2,946,232 1,473,116 736,558 368,279 1,104,838 552,419 1,657,258 828,629 2,485,888 1,242,944 621,472 310,736 155,368 77,684 38,842 19,421 58,264 29,132 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700

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