9,794,484

2² × 3² × 7 × 38867

9,794,484 factors as 2^2 × 3^2 × 7 × 38867. Its 36 positive divisors give a proper-divisor sum of 18,501,420, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 38867

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 28,295,904

Proper Divisor Sum 18,501,420

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9794467 ← → #9794503

Radix Representation

Decimal	9794484
Binary	100101010111001110110100 (24 bits)
Octal	0o45271664
Hexadecimal	0x9573B4

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 38,867 77,734 116,601 155,468 233,202 272,069 349,803 466,404 544,138 699,606 816,207 1,088,276 1,399,212 1,632,414 2,448,621 3,264,828 4,897,242 9,794,484

Collatz Trajectory (207 steps to reach 1)

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

9,794,484 4,897,242 2,448,621 7,345,864 3,672,932 1,836,466 918,233 2,754,700 1,377,350 688,675 2,066,026 1,033,013 3,099,040 1,549,520 774,760 387,380 193,690 96,845 290,536 145,268 72,634 36,317 108,952 54,476 27,238 13,619 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367

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