9,523,975

5² × 31 × 12289

9,523,975 factors as 5^2 × 31 × 12289. Its 12 positive divisors give a proper-divisor sum of 2,667,705, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 5^2 × 31 × 12289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,191,680

Proper Divisor Sum 2,667,705

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9523973 ← → #9523993

Radix Representation

Decimal	9523975
Binary	100100010101001100000111 (24 bits)
Octal	0o44251407
Hexadecimal	0x915307

Divisor Catalog (12)

1 5 25 31 155 775 12,289 61,445 307,225 380,959 1,904,795 9,523,975

Collatz Trajectory (269 steps to reach 1)

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

9,523,975 28,571,926 14,285,963 42,857,890 21,428,945 64,286,836 32,143,418 16,071,709 48,215,128 24,107,564 12,053,782 6,026,891 18,080,674 9,040,337 27,121,012 13,560,506 6,780,253 20,340,760 10,170,380 5,085,190 2,542,595 7,627,786 3,813,893 11,441,680 5,720,840 2,860,420 1,430,210 715,105 2,145,316 1,072,658 536,329 1,608,988 804,494 402,247 1,206,742 603,371 1,810,114 905,057 2,715,172 1,357,586 678,793 2,036,380 1,018,190 509,095 1,527,286 763,643 2,290,930 1,145,465 3,436,396 1,718,198 859,099 2,577,298 1,288,649 3,865,948 1,932,974 966,487 2,899,462 1,449,731 4,349,194 2,174,597

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