82,708,432

2⁴ × 107 × 48311

82,708,432 factors as 2^4 × 107 × 48311. Its 20 positive divisors give a proper-divisor sum of 79,040,144, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^4 × 107 × 48311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 161,748,576

Proper Divisor Sum 79,040,144

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #82708399 ← → #82708433

Radix Representation

Decimal	82708432
Binary	100111011100000011111010000 (27 bits)
Octal	0o473403720
Hexadecimal	0x4EE07D0

Divisor Catalog (20)

Collatz Trajectory (161 steps to reach 1)

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

82,708,432 41,354,216 20,677,108 10,338,554 5,169,277 15,507,832 7,753,916 3,876,958 1,938,479 5,815,438 2,907,719 8,723,158 4,361,579 13,084,738 6,542,369 19,627,108 9,813,554 4,906,777 14,720,332 7,360,166 3,680,083 11,040,250 5,520,125 16,560,376 8,280,188 4,140,094 2,070,047 6,210,142 3,105,071 9,315,214 4,657,607 13,972,822 6,986,411 20,959,234 10,479,617 31,438,852 15,719,426 7,859,713 23,579,140 11,789,570 5,894,785 17,684,356 8,842,178 4,421,089 13,263,268 6,631,634 3,315,817 9,947,452 4,973,726 2,486,863 7,460,590 3,730,295 11,190,886 5,595,443 16,786,330 8,393,165 25,179,496 12,589,748 6,294,874 3,147,437

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