26,315,414

2 × 2003 × 6569

26,315,414 factors as 2 × 2003 × 6569. Its 8 positive divisors give a proper-divisor sum of 13,183,426, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 2003 × 6569

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 39,498,840

Proper Divisor Sum 13,183,426

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #26315413 ← → #26315423

Radix Representation

Decimal	26315414
Binary	1100100011000101010010110 (25 bits)
Octal	0o144305226
Hexadecimal	0x1918A96

Divisor Catalog (8)

1 2 2,003 4,006 6,569 13,138 13,157,707 26,315,414

Collatz Trajectory (149 steps to reach 1)

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

26,315,414 13,157,707 39,473,122 19,736,561 59,209,684 29,604,842 14,802,421 44,407,264 22,203,632 11,101,816 5,550,908 2,775,454 1,387,727 4,163,182 2,081,591 6,244,774 3,122,387 9,367,162 4,683,581 14,050,744 7,025,372 3,512,686 1,756,343 5,269,030 2,634,515 7,903,546 3,951,773 11,855,320 5,927,660 2,963,830 1,481,915 4,445,746 2,222,873 6,668,620 3,334,310 1,667,155 5,001,466 2,500,733 7,502,200 3,751,100 1,875,550 937,775 2,813,326 1,406,663 4,219,990 2,109,995 6,329,986 3,164,993 9,494,980 4,747,490 2,373,745 7,121,236 3,560,618 1,780,309 5,340,928 2,670,464 1,335,232 667,616 333,808 166,904

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