8,409,588

2² × 3 × 11 × 63709

8,409,588 factors as 2^2 × 3 × 11 × 63709. Its 24 positive divisors give a proper-divisor sum of 12,996,972, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 63709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,406,560

Proper Divisor Sum 12,996,972

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8409581 ← → #8409593

Radix Representation

Decimal	8409588
Binary	100000000101000111110100 (24 bits)
Octal	0o40050764
Hexadecimal	0x8051F4

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

8,409,588 4,204,794 2,102,397 6,307,192 3,153,596 1,576,798 788,399 2,365,198 1,182,599 3,547,798 1,773,899 5,321,698 2,660,849 7,982,548 3,991,274 1,995,637 5,986,912 2,993,456 1,496,728 748,364 374,182 187,091 561,274 280,637 841,912 420,956 210,478 105,239 315,718 157,859 473,578 236,789 710,368 355,184 177,592 88,796 44,398 22,199 66,598 33,299 99,898 49,949 149,848 74,924 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416 23,708 11,854 5,927 17,782 8,891

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