47,596,822

2 × 7 × 13² × 20117

47,596,822 factors as 2 × 7 × 13^2 × 20117. Its 24 positive divisors give a proper-divisor sum of 40,761,434, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13^2 × 20117

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 88,358,256

Proper Divisor Sum 40,761,434

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #47596817 ← → #47596823

Radix Representation

Decimal	47596822
Binary	10110101100100010100010110 (26 bits)
Octal	0o265442426
Hexadecimal	0x2D64516

Divisor Catalog (24)

Collatz Trajectory (124 steps to reach 1)

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

47,596,822 23,798,411 71,395,234 35,697,617 107,092,852 53,546,426 26,773,213 80,319,640 40,159,820 20,079,910 10,039,955 30,119,866 15,059,933 45,179,800 22,589,900 11,294,950 5,647,475 16,942,426 8,471,213 25,413,640 12,706,820 6,353,410 3,176,705 9,530,116 4,765,058 2,382,529 7,147,588 3,573,794 1,786,897 5,360,692 2,680,346 1,340,173 4,020,520 2,010,260 1,005,130 502,565 1,507,696 753,848 376,924 188,462 94,231 282,694 141,347 424,042 212,021 636,064 318,032 159,016 79,508 39,754 19,877 59,632 29,816 14,908 7,454 3,727 11,182 5,591 16,774 8,387

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