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Atlas › Integer Profiles › Node 42,469,872

42,469,872

24 × 3 × 884789
Abundant Even Composite

42,469,872 factors as 2^4 × 3 × 884789. Its 20 positive divisors give a proper-divisor sum of 67,244,088, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 884789
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 109,713,960
Proper Divisor Sum 67,244,088
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #42469841 ← → #42469873

Radix Representation

Decimal 42469872
Binary 10100010000000100111110000 (26 bits)
Octal 0o242004760
Hexadecimal 0x28809F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 884,789 1,769,578 2,654,367 3,539,156 5,308,734 7,078,312 10,617,468 14,156,624 21,234,936 42,469,872

Collatz Trajectory (160 steps to reach 1)

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

42,469,872 21,234,936 10,617,468 5,308,734 2,654,367 7,963,102 3,981,551 11,944,654 5,972,327 17,916,982 8,958,491 26,875,474 13,437,737 40,313,212 20,156,606 10,078,303 30,234,910 15,117,455 45,352,366 22,676,183 68,028,550 34,014,275 102,042,826 51,021,413 153,064,240 76,532,120 38,266,060 19,133,030 9,566,515 28,699,546 14,349,773 43,049,320 21,524,660 10,762,330 5,381,165 16,143,496 8,071,748 4,035,874 2,017,937 6,053,812 3,026,906 1,513,453 4,540,360 2,270,180 1,135,090 567,545 1,702,636 851,318 425,659 1,276,978 638,489 1,915,468 957,734 478,867 1,436,602 718,301 2,154,904 1,077,452 538,726 269,363

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