9,709,974

2 × 3² × 257 × 2099

9,709,974 factors as 2 × 3^2 × 257 × 2099. Its 24 positive divisors give a proper-divisor sum of 11,420,226, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 257 × 2099

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,130,200

Proper Divisor Sum 11,420,226

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9709963 ← → #9709993

Radix Representation

Decimal	9709974
Binary	100101000010100110010110 (24 bits)
Octal	0o45024626
Hexadecimal	0x942996

Divisor Catalog (24)

Collatz Trajectory (238 steps to reach 1)

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

9,709,974 4,854,987 14,564,962 7,282,481 21,847,444 10,923,722 5,461,861 16,385,584 8,192,792 4,096,396 2,048,198 1,024,099 3,072,298 1,536,149 4,608,448 2,304,224 1,152,112 576,056 288,028 144,014 72,007 216,022 108,011 324,034 162,017 486,052 243,026 121,513 364,540 182,270 91,135 273,406 136,703 410,110 205,055 615,166 307,583 922,750 461,375 1,384,126 692,063 2,076,190 1,038,095 3,114,286 1,557,143 4,671,430 2,335,715 7,007,146 3,503,573 10,510,720 5,255,360 2,627,680 1,313,840 656,920 328,460 164,230 82,115 246,346 123,173 369,520

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