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Atlas › Integer Profiles › Node 42,579,384

42,579,384

23 × 3 × 487 × 3643
Abundant Even Composite

42,579,384 factors as 2^3 × 3 × 487 × 3643. Its 32 positive divisors give a proper-divisor sum of 64,116,936, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 487 × 3643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 106,696,320
Proper Divisor Sum 64,116,936
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #42579359 ← → #42579391

Radix Representation

Decimal 42579384
Binary 10100010011011010110111000 (26 bits)
Octal 0o242332670
Hexadecimal 0x289B5B8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 487 974 1,461 1,948 2,922 3,643 3,896 5,844 7,286 10,929 11,688 14,572 21,858 29,144 43,716 87,432 1,774,141 3,548,282 5,322,423 7,096,564 10,644,846 14,193,128 21,289,692 42,579,384

Collatz Trajectory (129 steps to reach 1)

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

42,579,384 21,289,692 10,644,846 5,322,423 15,967,270 7,983,635 23,950,906 11,975,453 35,926,360 17,963,180 8,981,590 4,490,795 13,472,386 6,736,193 20,208,580 10,104,290 5,052,145 15,156,436 7,578,218 3,789,109 11,367,328 5,683,664 2,841,832 1,420,916 710,458 355,229 1,065,688 532,844 266,422 133,211 399,634 199,817 599,452 299,726 149,863 449,590 224,795 674,386 337,193 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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