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Atlas › Integer Profiles › Node 57,734,178

57,734,178

2 × 3 × 1032 × 907
Abundant Even Composite

57,734,178 factors as 2 × 3 × 103^2 × 907. Its 24 positive divisors give a proper-divisor sum of 58,994,670, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3 × 103^2 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 116,728,848
Proper Divisor Sum 58,994,670
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57734177 ← → #57734197

Radix Representation

Decimal 57734178
Binary 11011100001111010000100010 (26 bits)
Octal 0o334172042
Hexadecimal 0x370F422

Divisor Catalog (24)

1 2 3 6 103 206 309 618 907 1,814 2,721 5,442 10,609 21,218 31,827 63,654 93,421 186,842 280,263 560,526 9,622,363 19,244,726 28,867,089 57,734,178

Collatz Trajectory (119 steps to reach 1)

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

57,734,178 28,867,089 86,601,268 43,300,634 21,650,317 64,950,952 32,475,476 16,237,738 8,118,869 24,356,608 12,178,304 6,089,152 3,044,576 1,522,288 761,144 380,572 190,286 95,143 285,430 142,715 428,146 214,073 642,220 321,110 160,555 481,666 240,833 722,500 361,250 180,625 541,876 270,938 135,469 406,408 203,204 101,602 50,801 152,404 76,202 38,101 114,304 57,152 28,576 14,288 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

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