4,490,220

2² × 3 × 5 × 7 × 10691

4,490,220 factors as 2^2 × 3 × 5 × 7 × 10691. Its 48 positive divisors give a proper-divisor sum of 9,879,828, so this integer is abundant. The Collatz stopping time is 392 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 10691

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,370,048

Proper Divisor Sum 9,879,828

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4490207 ← → #4490231

Radix Representation

Decimal	4490220
Binary	10001001000001111101100 (23 bits)
Octal	0o21101754
Hexadecimal	0x4483EC

Divisor Catalog (48)

Collatz Trajectory (392 steps to reach 1)

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

4,490,220 2,245,110 1,122,555 3,367,666 1,683,833 5,051,500 2,525,750 1,262,875 3,788,626 1,894,313 5,682,940 2,841,470 1,420,735 4,262,206 2,131,103 6,393,310 3,196,655 9,589,966 4,794,983 14,384,950 7,192,475 21,577,426 10,788,713 32,366,140 16,183,070 8,091,535 24,274,606 12,137,303 36,411,910 18,205,955 54,617,866 27,308,933 81,926,800 40,963,400 20,481,700 10,240,850 5,120,425 15,361,276 7,680,638 3,840,319 11,520,958 5,760,479 17,281,438 8,640,719 25,922,158 12,961,079 38,883,238 19,441,619 58,324,858 29,162,429 87,487,288 43,743,644 21,871,822 10,935,911 32,807,734 16,403,867 49,211,602 24,605,801 73,817,404 36,908,702

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