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Atlas › Integer Profiles › Node 80,939,610

80,939,610

2 × 32 × 5 × 317 × 2837
Abundant Even Composite

80,939,610 factors as 2 × 3^2 × 5 × 317 × 2837. Its 48 positive divisors give a proper-divisor sum of 130,241,646, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 317 × 2837
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 211,181,256
Proper Divisor Sum 130,241,646
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #80939603 ← → #80939611

Radix Representation

Decimal 80939610
Binary 100110100110000101001011010 (27 bits)
Octal 0o464605132
Hexadecimal 0x4D30A5A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 317 634 951 1,585 1,902 2,837 2,853 3,170 4,755 5,674 5,706 8,511 9,510 14,185 14,265 17,022 25,533 28,370 28,530 42,555 51,066 85,110 127,665 255,330 899,329 1,798,658 2,697,987 4,496,645 5,395,974 8,093,961 8,993,290 13,489,935 16,187,922 26,979,870 40,469,805 80,939,610

Collatz Trajectory (135 steps to reach 1)

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

80,939,610 40,469,805 121,409,416 60,704,708 30,352,354 15,176,177 45,528,532 22,764,266 11,382,133 34,146,400 17,073,200 8,536,600 4,268,300 2,134,150 1,067,075 3,201,226 1,600,613 4,801,840 2,400,920 1,200,460 600,230 300,115 900,346 450,173 1,350,520 675,260 337,630 168,815 506,446 253,223 759,670 379,835 1,139,506 569,753 1,709,260 854,630 427,315 1,281,946 640,973 1,922,920 961,460 480,730 240,365 721,096 360,548 180,274 90,137 270,412 135,206 67,603 202,810 101,405 304,216 152,108 76,054 38,027 114,082 57,041 171,124 85,562

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