41,576,838

2 × 3 × 241 × 28753

41,576,838 factors as 2 × 3 × 241 × 28753. Its 16 positive divisors give a proper-divisor sum of 41,924,778, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2 × 3 × 241 × 28753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 83,501,616

Proper Divisor Sum 41,924,778

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #41576827 ← → #41576839

Radix Representation

Decimal	41576838
Binary	10011110100110100110000110 (26 bits)
Octal	0o236464606
Hexadecimal	0x27A6986

Divisor Catalog (16)

1 2 3 6 241 482 723 1,446 28,753 57,506 86,259 172,518 6,929,473 13,858,946 20,788,419 41,576,838

Collatz Trajectory (72 steps to reach 1)

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

41,576,838 20,788,419 62,365,258 31,182,629 93,547,888 46,773,944 23,386,972 11,693,486 5,846,743 17,540,230 8,770,115 26,310,346 13,155,173 39,465,520 19,732,760 9,866,380 4,933,190 2,466,595 7,399,786 3,699,893 11,099,680 5,549,840 2,774,920 1,387,460 693,730 346,865 1,040,596 520,298 260,149 780,448 390,224 195,112 97,556 48,778 24,389 73,168 36,584 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34

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