82,044,088

2³ × 7 × 1465073

82,044,088 factors as 2^3 × 7 × 1465073. Its 16 positive divisors give a proper-divisor sum of 93,764,792, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 1465073

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 175,808,880

Proper Divisor Sum 93,764,792

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #82044077 ← → #82044097

Radix Representation

Decimal	82044088
Binary	100111000111110010010111000 (27 bits)
Octal	0o470762270
Hexadecimal	0x4E3E4B8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 1,465,073 2,930,146 5,860,292 10,255,511 11,720,584 20,511,022 41,022,044 82,044,088

Collatz Trajectory (135 steps to reach 1)

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

82,044,088 41,022,044 20,511,022 10,255,511 30,766,534 15,383,267 46,149,802 23,074,901 69,224,704 34,612,352 17,306,176 8,653,088 4,326,544 2,163,272 1,081,636 540,818 270,409 811,228 405,614 202,807 608,422 304,211 912,634 456,317 1,368,952 684,476 342,238 171,119 513,358 256,679 770,038 385,019 1,155,058 577,529 1,732,588 866,294 433,147 1,299,442 649,721 1,949,164 974,582 487,291 1,461,874 730,937 2,192,812 1,096,406 548,203 1,644,610 822,305 2,466,916 1,233,458 616,729 1,850,188 925,094 462,547 1,387,642 693,821 2,081,464 1,040,732 520,366

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