λ
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4,580,444

22 × 11 × 19 × 5479
Abundant Even Composite

4,580,444 factors as 2^2 × 11 × 19 × 5479. Its 24 positive divisors give a proper-divisor sum of 4,625,956, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 5479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,206,400
Proper Divisor Sum 4,625,956
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4580441 ← → #4580449

Radix Representation

Decimal 4580444
Binary 10001011110010001011100 (23 bits)
Octal 0o21362134
Hexadecimal 0x45E45C

Divisor Catalog (24)

1 2 4 11 19 22 38 44 76 209 418 836 5,479 10,958 21,916 60,269 104,101 120,538 208,202 241,076 416,404 1,145,111 2,290,222 4,580,444

Collatz Trajectory (131 steps to reach 1)

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

4,580,444 2,290,222 1,145,111 3,435,334 1,717,667 5,153,002 2,576,501 7,729,504 3,864,752 1,932,376 966,188 483,094 241,547 724,642 362,321 1,086,964 543,482 271,741 815,224 407,612 203,806 101,903 305,710 152,855 458,566 229,283 687,850 343,925 1,031,776 515,888 257,944 128,972 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846

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