57,742,850

2 × 5² × 11 × 104987

57,742,850 factors as 2 × 5^2 × 11 × 104987. Its 24 positive divisors give a proper-divisor sum of 59,423,758, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 104987

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 117,166,608

Proper Divisor Sum 59,423,758

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #57742849 ← → #57742889

Radix Representation

Decimal	57742850
Binary	11011100010001011000000010 (26 bits)
Octal	0o334213002
Hexadecimal	0x3711602

Divisor Catalog (24)

Collatz Trajectory (145 steps to reach 1)

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

57,742,850 28,871,425 86,614,276 43,307,138 21,653,569 64,960,708 32,480,354 16,240,177 48,720,532 24,360,266 12,180,133 36,540,400 18,270,200 9,135,100 4,567,550 2,283,775 6,851,326 3,425,663 10,276,990 5,138,495 15,415,486 7,707,743 23,123,230 11,561,615 34,684,846 17,342,423 52,027,270 26,013,635 78,040,906 39,020,453 117,061,360 58,530,680 29,265,340 14,632,670 7,316,335 21,949,006 10,974,503 32,923,510 16,461,755 49,385,266 24,692,633 74,077,900 37,038,950 18,519,475 55,558,426 27,779,213 83,337,640 41,668,820 20,834,410 10,417,205 31,251,616 15,625,808 7,812,904 3,906,452 1,953,226 976,613 2,929,840 1,464,920 732,460 366,230

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