9,843,375

3 × 5³ × 26249

9,843,375 factors as 3 × 5^3 × 26249. Its 16 positive divisors give a proper-divisor sum of 6,536,625, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3 × 5^3 × 26249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,380,000

Proper Divisor Sum 6,536,625

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9843373 ← → #9843397

Radix Representation

Decimal	9843375
Binary	100101100011001010101111 (24 bits)
Octal	0o45431257
Hexadecimal	0x9632AF

Divisor Catalog (16)

1 3 5 15 25 75 125 375 26,249 78,747 131,245 393,735 656,225 1,968,675 3,281,125 9,843,375

Collatz Trajectory (207 steps to reach 1)

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

9,843,375 29,530,126 14,765,063 44,295,190 22,147,595 66,442,786 33,221,393 99,664,180 49,832,090 24,916,045 74,748,136 37,374,068 18,687,034 9,343,517 28,030,552 14,015,276 7,007,638 3,503,819 10,511,458 5,255,729 15,767,188 7,883,594 3,941,797 11,825,392 5,912,696 2,956,348 1,478,174 739,087 2,217,262 1,108,631 3,325,894 1,662,947 4,988,842 2,494,421 7,483,264 3,741,632 1,870,816 935,408 467,704 233,852 116,926 58,463 175,390 87,695 263,086 131,543 394,630 197,315 591,946 295,973 887,920 443,960 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596

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