82,449,736

2³ × 10306217

82,449,736 factors as 2^3 × 10306217. Its 8 positive divisors give a proper-divisor sum of 72,143,534, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^3 × 10306217

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 154,593,270

Proper Divisor Sum 72,143,534

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #82449713 ← → #82449743

Radix Representation

Decimal	82449736
Binary	100111010100001010101001000 (27 bits)
Octal	0o472412510
Hexadecimal	0x4EA1548

Divisor Catalog (8)

1 2 4 8 10,306,217 20,612,434 41,224,868 82,449,736

Collatz Trajectory (192 steps to reach 1)

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

82,449,736 41,224,868 20,612,434 10,306,217 30,918,652 15,459,326 7,729,663 23,188,990 11,594,495 34,783,486 17,391,743 52,175,230 26,087,615 78,262,846 39,131,423 117,394,270 58,697,135 176,091,406 88,045,703 264,137,110 132,068,555 396,205,666 198,102,833 594,308,500 297,154,250 148,577,125 445,731,376 222,865,688 111,432,844 55,716,422 27,858,211 83,574,634 41,787,317 125,361,952 62,680,976 31,340,488 15,670,244 7,835,122 3,917,561 11,752,684 5,876,342 2,938,171 8,814,514 4,407,257 13,221,772 6,610,886 3,305,443 9,916,330 4,958,165 14,874,496 7,437,248 3,718,624 1,859,312 929,656 464,828 232,414 116,207 348,622 174,311 522,934

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