λ
Integer Codex

4,440,580

22 × 5 × 222029
Abundant Even Composite

For 4,440,580, the 12 positive divisors have a total of 9,325,260. Removing 4,440,580 leaves 4,884,680, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 222029
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,325,260
Proper Divisor Sum 4,884,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4440571 ← → #4440613

Radix Representation

Decimal 4440580
Binary 10000111100001000000100 (23 bits)
Octal 0o20741004
Hexadecimal 0x43C204

Divisor Catalog (12)

1 2 4 5 10 20 222,029 444,058 888,116 1,110,145 2,220,290 4,440,580

Collatz Trajectory (118 steps to reach 1)

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

4,440,580 2,220,290 1,110,145 3,330,436 1,665,218 832,609 2,497,828 1,248,914 624,457 1,873,372 936,686 468,343 1,405,030 702,515 2,107,546 1,053,773 3,161,320 1,580,660 790,330 395,165 1,185,496 592,748 296,374 148,187 444,562 222,281 666,844 333,422 166,711 500,134 250,067 750,202 375,101 1,125,304 562,652 281,326 140,663 421,990 210,995 632,986 316,493 949,480 474,740 237,370 118,685 356,056 178,028 89,014 44,507 133,522 66,761 200,284 100,142 50,071 150,214 75,107 225,322 112,661 337,984 168,992

More profiles

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