9,724,842

2 × 3² × 540269

9,724,842 has the prime decomposition 2 × 3^2 × 540269. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 540269

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,070,530

Proper Divisor Sum 11,345,688

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9724823 ← → #9724843

Radix Representation

Decimal	9724842
Binary	100101000110001110101010 (24 bits)
Octal	0o45061652
Hexadecimal	0x9463AA

Divisor Catalog (12)

1 2 3 6 9 18 540,269 1,080,538 1,620,807 3,241,614 4,862,421 9,724,842

Collatz Trajectory (114 steps to reach 1)

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

9,724,842 4,862,421 14,587,264 7,293,632 3,646,816 1,823,408 911,704 455,852 227,926 113,963 341,890 170,945 512,836 256,418 128,209 384,628 192,314 96,157 288,472 144,236 72,118 36,059 108,178 54,089 162,268 81,134 40,567 121,702 60,851 182,554 91,277 273,832 136,916 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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