10,617,468

2² × 3 × 884789

10,617,468 factors as 2^2 × 3 × 884789. Its 12 positive divisors give a proper-divisor sum of 14,156,652, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 884789

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,774,120

Proper Divisor Sum 14,156,652

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #10617413 ← → #10617479

Radix Representation

Decimal	10617468
Binary	101000100000001001111100 (24 bits)
Octal	0o50401174
Hexadecimal	0xA2027C

Divisor Catalog (12)

1 2 3 4 6 12 884,789 1,769,578 2,654,367 3,539,156 5,308,734 10,617,468

Collatz Trajectory (158 steps to reach 1)

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

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 1,077,452 538,726 269,363 808,090 404,045

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