λ
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57,725,836

22 × 7 × 59 × 83 × 421
Abundant Even Composite

57,725,836 factors as 2^2 × 7 × 59 × 83 × 421. Its 48 positive divisors give a proper-divisor sum of 61,379,444, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 59 × 83 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 119,105,280
Proper Divisor Sum 61,379,444
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57725831 ← → #57725839

Radix Representation

Decimal 57725836
Binary 11011100001101001110001100 (26 bits)
Octal 0o334151614
Hexadecimal 0x370D38C

Divisor Catalog (48)

1 2 4 7 14 28 59 83 118 166 236 332 413 421 581 826 842 1,162 1,652 1,684 2,324 2,947 4,897 5,894 9,794 11,788 19,588 24,839 34,279 34,943 49,678 68,558 69,886 99,356 137,116 139,772 173,873 244,601 347,746 489,202 695,492 978,404 2,061,637 4,123,274 8,246,548 14,431,459 28,862,918 57,725,836

Collatz Trajectory (70 steps to reach 1)

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

57,725,836 28,862,918 14,431,459 43,294,378 21,647,189 64,941,568 32,470,784 16,235,392 8,117,696 4,058,848 2,029,424 1,014,712 507,356 253,678 126,839 380,518 190,259 570,778 285,389 856,168 428,084 214,042 107,021 321,064 160,532 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52

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