4,733,752

2³ × 17 × 34807

4,733,752 factors as 2^3 × 17 × 34807. Its 16 positive divisors give a proper-divisor sum of 4,664,408, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 34807

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,398,160

Proper Divisor Sum 4,664,408

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4733723 ← → #4733753

Radix Representation

Decimal	4733752
Binary	10010000011101100111000 (23 bits)
Octal	0o22035470
Hexadecimal	0x483B38

Divisor Catalog (16)

1 2 4 8 17 34 68 136 34,807 69,614 139,228 278,456 591,719 1,183,438 2,366,876 4,733,752

Collatz Trajectory (224 steps to reach 1)

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

4,733,752 2,366,876 1,183,438 591,719 1,775,158 887,579 2,662,738 1,331,369 3,994,108 1,997,054 998,527 2,995,582 1,497,791 4,493,374 2,246,687 6,740,062 3,370,031 10,110,094 5,055,047 15,165,142 7,582,571 22,747,714 11,373,857 34,121,572 17,060,786 8,530,393 25,591,180 12,795,590 6,397,795 19,193,386 9,596,693 28,790,080 14,395,040 7,197,520 3,598,760 1,799,380 899,690 449,845 1,349,536 674,768 337,384 168,692 84,346 42,173 126,520 63,260 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026

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