82,059,618

2 × 3 × 29 × 471607

82,059,618 factors as 2 × 3 × 29 × 471607. Its 16 positive divisors give a proper-divisor sum of 87,719,262, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 471607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 169,778,880

Proper Divisor Sum 87,719,262

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #82059617 ← → #82059667

Radix Representation

Decimal	82059618
Binary	100111001000010000101100010 (27 bits)
Octal	0o471020542
Hexadecimal	0x4E42162

Divisor Catalog (16)

1 2 3 6 29 58 87 174 471,607 943,214 1,414,821 2,829,642 13,676,603 27,353,206 41,029,809 82,059,618

Collatz Trajectory (130 steps to reach 1)

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

82,059,618 41,029,809 123,089,428 61,544,714 30,772,357 92,317,072 46,158,536 23,079,268 11,539,634 5,769,817 17,309,452 8,654,726 4,327,363 12,982,090 6,491,045 19,473,136 9,736,568 4,868,284 2,434,142 1,217,071 3,651,214 1,825,607 5,476,822 2,738,411 8,215,234 4,107,617 12,322,852 6,161,426 3,080,713 9,242,140 4,621,070 2,310,535 6,931,606 3,465,803 10,397,410 5,198,705 15,596,116 7,798,058 3,899,029 11,697,088 5,848,544 2,924,272 1,462,136 731,068 365,534 182,767 548,302 274,151 822,454 411,227 1,233,682 616,841 1,850,524 925,262 462,631 1,387,894 693,947 2,081,842 1,040,921 3,122,764

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