82,059,742

2 × 151 × 163 × 1667

82,059,742 factors as 2 × 151 × 163 × 1667. Its 16 positive divisors give a proper-divisor sum of 42,679,970, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 151 × 163 × 1667

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 124,739,712

Proper Divisor Sum 42,679,970

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #82059739 ← → #82059743

Radix Representation

Decimal	82059742
Binary	100111001000010000111011110 (27 bits)
Octal	0o471020736
Hexadecimal	0x4E421DE

Divisor Catalog (16)

1 2 151 163 302 326 1,667 3,334 24,613 49,226 251,717 271,721 503,434 543,442 41,029,871 82,059,742

Collatz Trajectory (223 steps to reach 1)

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

82,059,742 41,029,871 123,089,614 61,544,807 184,634,422 92,317,211 276,951,634 138,475,817 415,427,452 207,713,726 103,856,863 311,570,590 155,785,295 467,355,886 233,677,943 701,033,830 350,516,915 1,051,550,746 525,775,373 1,577,326,120 788,663,060 394,331,530 197,165,765 591,497,296 295,748,648 147,874,324 73,937,162 36,968,581 110,905,744 55,452,872 27,726,436 13,863,218 6,931,609 20,794,828 10,397,414 5,198,707 15,596,122 7,798,061 23,394,184 11,697,092 5,848,546 2,924,273 8,772,820 4,386,410 2,193,205 6,579,616 3,289,808 1,644,904 822,452 411,226 205,613 616,840 308,420 154,210 77,105 231,316 115,658 57,829 173,488 86,744

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