42,579,224

2³ × 5322403

42,579,224 factors as 2^3 × 5322403. Its 8 positive divisors give a proper-divisor sum of 37,256,836, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 5322403

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 79,836,060

Proper Divisor Sum 37,256,836

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #42579223 ← → #42579241

Radix Representation

Decimal	42579224
Binary	10100010011011010100011000 (26 bits)
Octal	0o242332430
Hexadecimal	0x289B518

Divisor Catalog (8)

1 2 4 8 5,322,403 10,644,806 21,289,612 42,579,224

Collatz Trajectory (129 steps to reach 1)

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

42,579,224 21,289,612 10,644,806 5,322,403 15,967,210 7,983,605 23,950,816 11,975,408 5,987,704 2,993,852 1,496,926 748,463 2,245,390 1,122,695 3,368,086 1,684,043 5,052,130 2,526,065 7,578,196 3,789,098 1,894,549 5,683,648 2,841,824 1,420,912 710,456 355,228 177,614 88,807 266,422 133,211 399,634 199,817 599,452 299,726 149,863 449,590 224,795 674,386 337,193 1,011,580 505,790 252,895 758,686 379,343 1,138,030 569,015 1,707,046 853,523 2,560,570 1,280,285 3,840,856 1,920,428 960,214 480,107 1,440,322 720,161 2,160,484 1,080,242 540,121 1,620,364

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