4,427,508

2² × 3 × 41 × 8999

For 4,427,508, the 24 positive divisors have a total of 10,584,000. Removing 4,427,508 leaves 6,156,492, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 8999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,584,000

Proper Divisor Sum 6,156,492

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4427503 ← → #4427509

Radix Representation

Decimal	4427508
Binary	10000111000111011110100 (23 bits)
Octal	0o20707364
Hexadecimal	0x438EF4

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 8,999 17,998 26,997 35,996 53,994 107,988 368,959 737,918 1,106,877 1,475,836 2,213,754 4,427,508

Collatz Trajectory (105 steps to reach 1)

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

4,427,508 2,213,754 1,106,877 3,320,632 1,660,316 830,158 415,079 1,245,238 622,619 1,867,858 933,929 2,801,788 1,400,894 700,447 2,101,342 1,050,671 3,152,014 1,576,007 4,728,022 2,364,011 7,092,034 3,546,017 10,638,052 5,319,026 2,659,513 7,978,540 3,989,270 1,994,635 5,983,906 2,991,953 8,975,860 4,487,930 2,243,965 6,731,896 3,365,948 1,682,974 841,487 2,524,462 1,262,231 3,786,694 1,893,347 5,680,042 2,840,021 8,520,064 4,260,032 2,130,016 1,065,008 532,504 266,252 133,126 66,563 199,690 99,845 299,536 149,768 74,884 37,442 18,721 56,164 28,082

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