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Atlas › Integer Profiles › Node 41,985,180

41,985,180

22 × 32 × 5 × 233251
Abundant Even Composite

41,985,180 factors as 2^2 × 3^2 × 5 × 233251. Its 36 positive divisors give a proper-divisor sum of 85,370,412, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 233251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 127,355,592
Proper Divisor Sum 85,370,412
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41985161 ← → #41985199

Radix Representation

Decimal 41985180
Binary 10100000001010010010011100 (26 bits)
Octal 0o240122234
Hexadecimal 0x280A49C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233,251 466,502 699,753 933,004 1,166,255 1,399,506 2,099,259 2,332,510 2,799,012 3,498,765 4,198,518 4,665,020 6,997,530 8,397,036 10,496,295 13,995,060 20,992,590 41,985,180

Collatz Trajectory (178 steps to reach 1)

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

41,985,180 20,992,590 10,496,295 31,488,886 15,744,443 47,233,330 23,616,665 70,849,996 35,424,998 17,712,499 53,137,498 26,568,749 79,706,248 39,853,124 19,926,562 9,963,281 29,889,844 14,944,922 7,472,461 22,417,384 11,208,692 5,604,346 2,802,173 8,406,520 4,203,260 2,101,630 1,050,815 3,152,446 1,576,223 4,728,670 2,364,335 7,093,006 3,546,503 10,639,510 5,319,755 15,959,266 7,979,633 23,938,900 11,969,450 5,984,725 17,954,176 8,977,088 4,488,544 2,244,272 1,122,136 561,068 280,534 140,267 420,802 210,401 631,204 315,602 157,801 473,404 236,702 118,351 355,054 177,527 532,582 266,291

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