49,728,706

2 × 17 × 179 × 8171

49,728,706 factors as 2 × 17 × 179 × 8171. Its 16 positive divisors give a proper-divisor sum of 29,703,134, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 17 × 179 × 8171

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 79,431,840

Proper Divisor Sum 29,703,134

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #49728667 ← → #49728727

Radix Representation

Decimal	49728706
Binary	10111101101100110011000010 (26 bits)
Octal	0o275546302
Hexadecimal	0x2F6CCC2

Divisor Catalog (16)

1 2 17 34 179 358 3,043 6,086 8,171 16,342 138,907 277,814 1,462,609 2,925,218 24,864,353 49,728,706

Collatz Trajectory (137 steps to reach 1)

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

49,728,706 24,864,353 74,593,060 37,296,530 18,648,265 55,944,796 27,972,398 13,986,199 41,958,598 20,979,299 62,937,898 31,468,949 94,406,848 47,203,424 23,601,712 11,800,856 5,900,428 2,950,214 1,475,107 4,425,322 2,212,661 6,637,984 3,318,992 1,659,496 829,748 414,874 207,437 622,312 311,156 155,578 77,789 233,368 116,684 58,342 29,171 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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