9,723,975

3 × 5² × 317 × 409

9,723,975 factors as 3 × 5^2 × 317 × 409. Its 24 positive divisors give a proper-divisor sum of 6,443,145, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 317 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,167,120

Proper Divisor Sum 6,443,145

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9723943 ← → #9723979

Radix Representation

Decimal	9723975
Binary	100101000110000001000111 (24 bits)
Octal	0o45060107
Hexadecimal	0x946047

Divisor Catalog (24)

Collatz Trajectory (199 steps to reach 1)

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

9,723,975 29,171,926 14,585,963 43,757,890 21,878,945 65,636,836 32,818,418 16,409,209 49,227,628 24,613,814 12,306,907 36,920,722 18,460,361 55,381,084 27,690,542 13,845,271 41,535,814 20,767,907 62,303,722 31,151,861 93,455,584 46,727,792 23,363,896 11,681,948 5,840,974 2,920,487 8,761,462 4,380,731 13,142,194 6,571,097 19,713,292 9,856,646 4,928,323 14,784,970 7,392,485 22,177,456 11,088,728 5,544,364 2,772,182 1,386,091 4,158,274 2,079,137 6,237,412 3,118,706 1,559,353 4,678,060 2,339,030 1,169,515 3,508,546 1,754,273 5,262,820 2,631,410 1,315,705 3,947,116 1,973,558 986,779 2,960,338 1,480,169 4,440,508 2,220,254

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