49,782,424

2³ × 811 × 7673

49,782,424 factors as 2^3 × 811 × 7673. Its 16 positive divisors give a proper-divisor sum of 43,686,896, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 811 × 7673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 93,469,320

Proper Divisor Sum 43,686,896

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #49782401 ← → #49782461

Radix Representation

Decimal	49782424
Binary	10111101111001111010011000 (26 bits)
Octal	0o275717230
Hexadecimal	0x2F79E98

Divisor Catalog (16)

1 2 4 8 811 1,622 3,244 6,488 7,673 15,346 30,692 61,384 6,222,803 12,445,606 24,891,212 49,782,424

Collatz Trajectory (137 steps to reach 1)

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

49,782,424 24,891,212 12,445,606 6,222,803 18,668,410 9,334,205 28,002,616 14,001,308 7,000,654 3,500,327 10,500,982 5,250,491 15,751,474 7,875,737 23,627,212 11,813,606 5,906,803 17,720,410 8,860,205 26,580,616 13,290,308 6,645,154 3,322,577 9,967,732 4,983,866 2,491,933 7,475,800 3,737,900 1,868,950 934,475 2,803,426 1,401,713 4,205,140 2,102,570 1,051,285 3,153,856 1,576,928 788,464 394,232 197,116 98,558 49,279 147,838 73,919 221,758 110,879 332,638 166,319 498,958 249,479 748,438 374,219 1,122,658 561,329 1,683,988 841,994 420,997 1,262,992 631,496 315,748

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