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Atlas › Integer Profiles › Node 4,480,086

4,480,086

2 × 3 × 13 × 19 × 3023
Abundant Even Composite

4,480,086 factors as 2 × 3 × 13 × 19 × 3023. Its 32 positive divisors give a proper-divisor sum of 5,680,554, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 19 × 3023
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,160,640
Proper Divisor Sum 5,680,554
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4480081 ← → #4480093

Radix Representation

Decimal 4480086
Binary 10001000101110001010110 (23 bits)
Octal 0o21056126
Hexadecimal 0x445C56

Divisor Catalog (32)

1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1,482 3,023 6,046 9,069 18,138 39,299 57,437 78,598 114,874 117,897 172,311 235,794 344,622 746,681 1,493,362 2,240,043 4,480,086

Collatz Trajectory (180 steps to reach 1)

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

4,480,086 2,240,043 6,720,130 3,360,065 10,080,196 5,040,098 2,520,049 7,560,148 3,780,074 1,890,037 5,670,112 2,835,056 1,417,528 708,764 354,382 177,191 531,574 265,787 797,362 398,681 1,196,044 598,022 299,011 897,034 448,517 1,345,552 672,776 336,388 168,194 84,097 252,292 126,146 63,073 189,220 94,610 47,305 141,916 70,958 35,479 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738

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