49,729,522

2 × 17 × 311 × 4703

49,729,522 factors as 2 × 17 × 311 × 4703. Its 16 positive divisors give a proper-divisor sum of 29,523,470, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 17 × 311 × 4703

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 79,252,992

Proper Divisor Sum 29,523,470

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #49729513 ← → #49729531

Radix Representation

Decimal	49729522
Binary	10111101101100111111110010 (26 bits)
Octal	0o275547762
Hexadecimal	0x2F6CFF2

Divisor Catalog (16)

1 2 17 34 311 622 4,703 5,287 9,406 10,574 79,951 159,902 1,462,633 2,925,266 24,864,761 49,729,522

Collatz Trajectory (137 steps to reach 1)

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

49,729,522 24,864,761 74,594,284 37,297,142 18,648,571 55,945,714 27,972,857 83,918,572 41,959,286 20,979,643 62,938,930 31,469,465 94,408,396 47,204,198 23,602,099 70,806,298 35,403,149 106,209,448 53,104,724 26,552,362 13,276,181 39,828,544 19,914,272 9,957,136 4,978,568 2,489,284 1,244,642 622,321 1,866,964 933,482 466,741 1,400,224 700,112 350,056 175,028 87,514 43,757 131,272 65,636 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764

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