57,734,352

2⁴ × 3² × 13 × 30841

57,734,352 factors as 2^4 × 3^2 × 13 × 30841. Its 60 positive divisors give a proper-divisor sum of 116,276,212, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 30841

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 174,010,564

Proper Divisor Sum 116,276,212

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #57734333 ← → #57734353

Radix Representation

Decimal	57734352
Binary	11011100001111010011010000 (26 bits)
Octal	0o334172320
Hexadecimal	0x370F4D0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1,872 30,841 61,682 92,523 123,364 185,046 246,728 277,569 370,092 400,933 493,456 555,138 740,184 801,866 1,110,276 1,202,799 1,480,368 1,603,732 2,220,552 2,405,598 3,207,464 3,608,397 4,441,104 4,811,196 6,414,928 7,216,794 9,622,392 14,433,588 19,244,784 28,867,176 57,734,352

Collatz Trajectory (70 steps to reach 1)

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

57,734,352 28,867,176 14,433,588 7,216,794 3,608,397 10,825,192 5,412,596 2,706,298 1,353,149 4,059,448 2,029,724 1,014,862 507,431 1,522,294 761,147 2,283,442 1,141,721 3,425,164 1,712,582 856,291 2,568,874 1,284,437 3,853,312 1,926,656 963,328 481,664 240,832 120,416 60,208 30,104 15,052 7,526 3,763 11,290 5,645 16,936 8,468 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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