57,713,589

3² × 17² × 22189

57,713,589 factors as 3^2 × 17^2 × 22189. Its 18 positive divisors give a proper-divisor sum of 30,846,701, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3^2 × 17^2 × 22189

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 88,560,290

Proper Divisor Sum 30,846,701

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #57713587 ← → #57713629

Radix Representation

Decimal	57713589
Binary	11011100001010001110110101 (26 bits)
Octal	0o334121665
Hexadecimal	0x370A3B5

Divisor Catalog (18)

1 3 9 17 51 153 289 867 2,601 22,189 66,567 199,701 377,213 1,131,639 3,394,917 6,412,621 19,237,863 57,713,589

Collatz Trajectory (238 steps to reach 1)

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

57,713,589 173,140,768 86,570,384 43,285,192 21,642,596 10,821,298 5,410,649 16,231,948 8,115,974 4,057,987 12,173,962 6,086,981 18,260,944 9,130,472 4,565,236 2,282,618 1,141,309 3,423,928 1,711,964 855,982 427,991 1,283,974 641,987 1,925,962 962,981 2,888,944 1,444,472 722,236 361,118 180,559 541,678 270,839 812,518 406,259 1,218,778 609,389 1,828,168 914,084 457,042 228,521 685,564 342,782 171,391 514,174 257,087 771,262 385,631 1,156,894 578,447 1,735,342 867,671 2,603,014 1,301,507 3,904,522 1,952,261 5,856,784 2,928,392 1,464,196 732,098 366,049

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