42,579,388

2² × 443 × 24029

42,579,388 factors as 2^2 × 443 × 24029. Its 12 positive divisors give a proper-divisor sum of 32,105,852, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 443 × 24029

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 74,685,240

Proper Divisor Sum 32,105,852

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #42579359 ← → #42579391

Radix Representation

Decimal	42579388
Binary	10100010011011010110111100 (26 bits)
Octal	0o242332674
Hexadecimal	0x289B5BC

Divisor Catalog (12)

1 2 4 443 886 1,772 24,029 48,058 96,116 10,644,847 21,289,694 42,579,388

Collatz Trajectory (222 steps to reach 1)

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

42,579,388 21,289,694 10,644,847 31,934,542 15,967,271 47,901,814 23,950,907 71,852,722 35,926,361 107,779,084 53,889,542 26,944,771 80,834,314 40,417,157 121,251,472 60,625,736 30,312,868 15,156,434 7,578,217 22,734,652 11,367,326 5,683,663 17,050,990 8,525,495 25,576,486 12,788,243 38,364,730 19,182,365 57,547,096 28,773,548 14,386,774 7,193,387 21,580,162 10,790,081 32,370,244 16,185,122 8,092,561 24,277,684 12,138,842 6,069,421 18,208,264 9,104,132 4,552,066 2,276,033 6,828,100 3,414,050 1,707,025 5,121,076 2,560,538 1,280,269 3,840,808 1,920,404 960,202 480,101 1,440,304 720,152 360,076 180,038 90,019 270,058

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