82,182,448

2⁴ × 19 × 270337

82,182,448 factors as 2^4 × 19 × 270337. Its 20 positive divisors give a proper-divisor sum of 85,427,112, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 270337

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 167,609,560

Proper Divisor Sum 85,427,112

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #82182431 ← → #82182449

Radix Representation

Decimal	82182448
Binary	100111001100000000100110000 (27 bits)
Octal	0o471400460
Hexadecimal	0x4E60130

Divisor Catalog (20)

Collatz Trajectory (130 steps to reach 1)

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

82,182,448 41,091,224 20,545,612 10,272,806 5,136,403 15,409,210 7,704,605 23,113,816 11,556,908 5,778,454 2,889,227 8,667,682 4,333,841 13,001,524 6,500,762 3,250,381 9,751,144 4,875,572 2,437,786 1,218,893 3,656,680 1,828,340 914,170 457,085 1,371,256 685,628 342,814 171,407 514,222 257,111 771,334 385,667 1,157,002 578,501 1,735,504 867,752 433,876 216,938 108,469 325,408 162,704 81,352 40,676 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414

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