57,769,575

3 × 5² × 770261

57,769,575 factors as 3 × 5^2 × 770261. Its 12 positive divisors give a proper-divisor sum of 37,742,913, so this integer is deficient. The Collatz stopping time is 406 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 770261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 95,512,488

Proper Divisor Sum 37,742,913

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #57769571 ← → #57769609

Radix Representation

Decimal	57769575
Binary	11011100010111111001100111 (26 bits)
Octal	0o334277147
Hexadecimal	0x3717E67

Divisor Catalog (12)

1 3 5 15 25 75 770,261 2,310,783 3,851,305 11,553,915 19,256,525 57,769,575

Collatz Trajectory (406 steps to reach 1)

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

57,769,575 173,308,726 86,654,363 259,963,090 129,981,545 389,944,636 194,972,318 97,486,159 292,458,478 146,229,239 438,687,718 219,343,859 658,031,578 329,015,789 987,047,368 493,523,684 246,761,842 123,380,921 370,142,764 185,071,382 92,535,691 277,607,074 138,803,537 416,410,612 208,205,306 104,102,653 312,307,960 156,153,980 78,076,990 39,038,495 117,115,486 58,557,743 175,673,230 87,836,615 263,509,846 131,754,923 395,264,770 197,632,385 592,897,156 296,448,578 148,224,289 444,672,868 222,336,434 111,168,217 333,504,652 166,752,326 83,376,163 250,128,490 125,064,245 375,192,736 187,596,368 93,798,184 46,899,092 23,449,546 11,724,773 35,174,320 17,587,160 8,793,580 4,396,790 2,198,395

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