5,802,822

2 × 3² × 179 × 1801

5,802,822 factors as 2 × 3^2 × 179 × 1801. Its 24 positive divisors give a proper-divisor sum of 6,847,218, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 179 × 1801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,650,040

Proper Divisor Sum 6,847,218

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5802799 ← → #5802829

Radix Representation

Decimal	5802822
Binary	10110001000101101000110 (23 bits)
Octal	0o26105506
Hexadecimal	0x588B46

Divisor Catalog (24)

1 2 3 6 9 18 179 358 537 1,074 1,611 1,801 3,222 3,602 5,403 10,806 16,209 32,418 322,379 644,758 967,137 1,934,274 2,901,411 5,802,822

Collatz Trajectory (214 steps to reach 1)

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

5,802,822 2,901,411 8,704,234 4,352,117 13,056,352 6,528,176 3,264,088 1,632,044 816,022 408,011 1,224,034 612,017 1,836,052 918,026 459,013 1,377,040 688,520 344,260 172,130 86,065 258,196 129,098 64,549 193,648 96,824 48,412 24,206 12,103 36,310 18,155 54,466 27,233 81,700 40,850 20,425 61,276 30,638 15,319 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814

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