9,502,182

2 × 3² × 31 × 17029

9,502,182 factors as 2 × 3^2 × 31 × 17029. Its 24 positive divisors give a proper-divisor sum of 11,751,258, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 17029

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,253,440

Proper Divisor Sum 11,751,258

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9502159 ← → #9502189

Radix Representation

Decimal	9502182
Binary	100100001111110111100110 (24 bits)
Octal	0o44176746
Hexadecimal	0x90FDE6

Divisor Catalog (24)

Collatz Trajectory (150 steps to reach 1)

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

9,502,182 4,751,091 14,253,274 7,126,637 21,379,912 10,689,956 5,344,978 2,672,489 8,017,468 4,008,734 2,004,367 6,013,102 3,006,551 9,019,654 4,509,827 13,529,482 6,764,741 20,294,224 10,147,112 5,073,556 2,536,778 1,268,389 3,805,168 1,902,584 951,292 475,646 237,823 713,470 356,735 1,070,206 535,103 1,605,310 802,655 2,407,966 1,203,983 3,611,950 1,805,975 5,417,926 2,708,963 8,126,890 4,063,445 12,190,336 6,095,168 3,047,584 1,523,792 761,896 380,948 190,474 95,237 285,712 142,856 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045

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