3,928,256

2⁶ × 61379

3,928,256 factors as 2^6 × 61379. Its 14 positive divisors give a proper-divisor sum of 3,867,004, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^6 × 61379

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 7,795,260

Proper Divisor Sum 3,867,004

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3928247 ← → #3928259

Radix Representation

Decimal	3928256
Binary	1110111111000011000000 (22 bits)
Octal	0o16770300
Hexadecimal	0x3BF0C0

Divisor Catalog (14)

1 2 4 8 16 32 64 61,379 122,758 245,516 491,032 982,064 1,964,128 3,928,256

Collatz Trajectory (79 steps to reach 1)

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

3,928,256 1,964,128 982,064 491,032 245,516 122,758 61,379 184,138 92,069 276,208 138,104 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116

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