47,739,656

2³ × 2099 × 2843

47,739,656 factors as 2^3 × 2099 × 2843. Its 16 positive divisors give a proper-divisor sum of 41,846,344, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^3 × 2099 × 2843

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 89,586,000

Proper Divisor Sum 41,846,344

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #47739641 ← → #47739661

Radix Representation

Decimal	47739656
Binary	10110110000111001100001000 (26 bits)
Octal	0o266071410
Hexadecimal	0x2D87308

Divisor Catalog (16)

1 2 4 8 2,099 2,843 4,198 5,686 8,396 11,372 16,792 22,744 5,967,457 11,934,914 23,869,828 47,739,656

Collatz Trajectory (67 steps to reach 1)

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

47,739,656 23,869,828 11,934,914 5,967,457 17,902,372 8,951,186 4,475,593 13,426,780 6,713,390 3,356,695 10,070,086 5,035,043 15,105,130 7,552,565 22,657,696 11,328,848 5,664,424 2,832,212 1,416,106 708,053 2,124,160 1,062,080 531,040 265,520 132,760 66,380 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40

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