4,220,844

2² × 3 × 211 × 1667

4,220,844 factors as 2^2 × 3 × 211 × 1667. Its 24 positive divisors give a proper-divisor sum of 5,680,404, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 211 × 1667

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,901,248

Proper Divisor Sum 5,680,404

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4220819 ← → #4220851

Radix Representation

Decimal	4220844
Binary	10000000110011110101100 (23 bits)
Octal	0o20063654
Hexadecimal	0x4067AC

Divisor Catalog (24)

1 2 3 4 6 12 211 422 633 844 1,266 1,667 2,532 3,334 5,001 6,668 10,002 20,004 351,737 703,474 1,055,211 1,406,948 2,110,422 4,220,844

Collatz Trajectory (105 steps to reach 1)

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

4,220,844 2,110,422 1,055,211 3,165,634 1,582,817 4,748,452 2,374,226 1,187,113 3,561,340 1,780,670 890,335 2,671,006 1,335,503 4,006,510 2,003,255 6,009,766 3,004,883 9,014,650 4,507,325 13,521,976 6,760,988 3,380,494 1,690,247 5,070,742 2,535,371 7,606,114 3,803,057 11,409,172 5,704,586 2,852,293 8,556,880 4,278,440 2,139,220 1,069,610 534,805 1,604,416 802,208 401,104 200,552 100,276 50,138 25,069 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463

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