λ
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Atlas › Integer Profiles › Node 57,001,050

57,001,050

2 × 33 × 52 × 42223
Abundant Even Composite

57,001,050 factors as 2 × 3^3 × 5^2 × 42223. Its 48 positive divisors give a proper-divisor sum of 100,072,230, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 42223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 157,073,280
Proper Divisor Sum 100,072,230
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #57001039 ← → #57001057

Radix Representation

Decimal 57001050
Binary 11011001011100010001011010 (26 bits)
Octal 0o331342132
Hexadecimal 0x365C45A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1,350 42,223 84,446 126,669 211,115 253,338 380,007 422,230 633,345 760,014 1,055,575 1,140,021 1,266,690 1,900,035 2,111,150 2,280,042 3,166,725 3,800,070 5,700,105 6,333,450 9,500,175 11,400,210 19,000,350 28,500,525 57,001,050

Collatz Trajectory (176 steps to reach 1)

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

57,001,050 28,500,525 85,501,576 42,750,788 21,375,394 10,687,697 32,063,092 16,031,546 8,015,773 24,047,320 12,023,660 6,011,830 3,005,915 9,017,746 4,508,873 13,526,620 6,763,310 3,381,655 10,144,966 5,072,483 15,217,450 7,608,725 22,826,176 11,413,088 5,706,544 2,853,272 1,426,636 713,318 356,659 1,069,978 534,989 1,604,968 802,484 401,242 200,621 601,864 300,932 150,466 75,233 225,700 112,850 56,425 169,276 84,638 42,319 126,958 63,479 190,438 95,219 285,658 142,829 428,488 214,244 107,122 53,561 160,684 80,342 40,171 120,514 60,257

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