λ
Ratio Atlas

57,701,202

2 × 3 × 13 × 739759
Abundant Even Composite

57,701,202 factors as 2 × 3 × 13 × 739759. Its 16 positive divisors give a proper-divisor sum of 66,578,478, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 739759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 124,279,680
Proper Divisor Sum 66,578,478
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #57701201 ← → #57701219

Radix Representation

Decimal 57701202
Binary 11011100000111001101010010 (26 bits)
Octal 0o334071522
Hexadecimal 0x3707352

Divisor Catalog (16)

Collatz Trajectory (207 steps to reach 1)

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

57,701,202 28,850,601 86,551,804 43,275,902 21,637,951 64,913,854 32,456,927 97,370,782 48,685,391 146,056,174 73,028,087 219,084,262 109,542,131 328,626,394 164,313,197 492,939,592 246,469,796 123,234,898 61,617,449 184,852,348 92,426,174 46,213,087 138,639,262 69,319,631 207,958,894 103,979,447 311,938,342 155,969,171 467,907,514 233,953,757 701,861,272 350,930,636 175,465,318 87,732,659 263,197,978 131,598,989 394,796,968 197,398,484 98,699,242 49,349,621 148,048,864 74,024,432 37,012,216 18,506,108 9,253,054 4,626,527 13,879,582 6,939,791 20,819,374 10,409,687 31,229,062 15,614,531 46,843,594 23,421,797 70,265,392 35,132,696 17,566,348 8,783,174 4,391,587 13,174,762

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