57,741,138

2 × 3² × 7 × 13 × 35251

57,741,138 factors as 2 × 3^2 × 7 × 13 × 35251. Its 48 positive divisors give a proper-divisor sum of 96,239,598, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 35251

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 153,980,736

Proper Divisor Sum 96,239,598

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #57741137 ← → #57741139

Radix Representation

Decimal	57741138
Binary	11011100010000111101010010 (26 bits)
Octal	0o334207522
Hexadecimal	0x3710F52

Divisor Catalog (48)

Collatz Trajectory (176 steps to reach 1)

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

57,741,138 28,870,569 86,611,708 43,305,854 21,652,927 64,958,782 32,479,391 97,438,174 48,719,087 146,157,262 73,078,631 219,235,894 109,617,947 328,853,842 164,426,921 493,280,764 246,640,382 123,320,191 369,960,574 184,980,287 554,940,862 277,470,431 832,411,294 416,205,647 1,248,616,942 624,308,471 1,872,925,414 936,462,707 2,809,388,122 1,404,694,061 4,214,082,184 2,107,041,092 1,053,520,546 526,760,273 1,580,280,820 790,140,410 395,070,205 1,185,210,616 592,605,308 296,302,654 148,151,327 444,453,982 222,226,991 666,680,974 333,340,487 1,000,021,462 500,010,731 1,500,032,194 750,016,097 2,250,048,292 1,125,024,146 562,512,073 1,687,536,220 843,768,110 421,884,055 1,265,652,166 632,826,083 1,898,478,250 949,239,125 2,847,717,376

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