9,706,372

2² × 13 × 73 × 2557

9,706,372 factors as 2^2 × 13 × 73 × 2557. Its 24 positive divisors give a proper-divisor sum of 8,844,244, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 73 × 2557

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,550,616

Proper Divisor Sum 8,844,244

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9706363 ← → #9706373

Radix Representation

Decimal	9706372
Binary	100101000001101110000100 (24 bits)
Octal	0o45015604
Hexadecimal	0x941B84

Divisor Catalog (24)

1 2 4 13 26 52 73 146 292 949 1,898 2,557 3,796 5,114 10,228 33,241 66,482 132,964 186,661 373,322 746,644 2,426,593 4,853,186 9,706,372

Collatz Trajectory (207 steps to reach 1)

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

9,706,372 4,853,186 2,426,593 7,279,780 3,639,890 1,819,945 5,459,836 2,729,918 1,364,959 4,094,878 2,047,439 6,142,318 3,071,159 9,213,478 4,606,739 13,820,218 6,910,109 20,730,328 10,365,164 5,182,582 2,591,291 7,773,874 3,886,937 11,660,812 5,830,406 2,915,203 8,745,610 4,372,805 13,118,416 6,559,208 3,279,604 1,639,802 819,901 2,459,704 1,229,852 614,926 307,463 922,390 461,195 1,383,586 691,793 2,075,380 1,037,690 518,845 1,556,536 778,268 389,134 194,567 583,702 291,851 875,554 437,777 1,313,332 656,666 328,333 985,000 492,500 246,250 123,125 369,376

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