41,576,834

2 × 13 × 1599109

41,576,834 factors as 2 × 13 × 1599109. Its 8 positive divisors give a proper-divisor sum of 25,585,786, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2 × 13 × 1599109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 67,162,620

Proper Divisor Sum 25,585,786

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #41576827 ← → #41576839

Radix Representation

Decimal	41576834
Binary	10011110100110100110000010 (26 bits)
Octal	0o236464602
Hexadecimal	0x27A6982

Divisor Catalog (8)

1 2 13 26 1,599,109 3,198,218 20,788,417 41,576,834

Collatz Trajectory (72 steps to reach 1)

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

41,576,834 20,788,417 62,365,252 31,182,626 15,591,313 46,773,940 23,386,970 11,693,485 35,080,456 17,540,228 8,770,114 4,385,057 13,155,172 6,577,586 3,288,793 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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