λ
Integer Codex

4,388,450

2 × 52 × 11 × 79 × 101
Abundant Even Composite

For 4,388,450, the 48 positive divisors have a total of 9,106,560. Removing 4,388,450 leaves 4,718,110, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 79 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,106,560
Proper Divisor Sum 4,718,110
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4388443 ← → #4388473

Radix Representation

Decimal 4388450
Binary 10000101111011001100010 (23 bits)
Octal 0o20573142
Hexadecimal 0x42F662

Divisor Catalog (48)

1 2 5 10 11 22 25 50 55 79 101 110 158 202 275 395 505 550 790 869 1,010 1,111 1,738 1,975 2,222 2,525 3,950 4,345 5,050 5,555 7,979 8,690 11,110 15,958 21,725 27,775 39,895 43,450 55,550 79,790 87,769 175,538 199,475 398,950 438,845 877,690 2,194,225 4,388,450

Collatz Trajectory (224 steps to reach 1)

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

4,388,450 2,194,225 6,582,676 3,291,338 1,645,669 4,937,008 2,468,504 1,234,252 617,126 308,563 925,690 462,845 1,388,536 694,268 347,134 173,567 520,702 260,351 781,054 390,527 1,171,582 585,791 1,757,374 878,687 2,636,062 1,318,031 3,954,094 1,977,047 5,931,142 2,965,571 8,896,714 4,448,357 13,345,072 6,672,536 3,336,268 1,668,134 834,067 2,502,202 1,251,101 3,753,304 1,876,652 938,326 469,163 1,407,490 703,745 2,111,236 1,055,618 527,809 1,583,428 791,714 395,857 1,187,572 593,786 296,893 890,680 445,340 222,670 111,335 334,006 167,003

More profiles

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