9,743,767

11² × 80527

9,743,767 factors as 11^2 × 80527. Its 6 positive divisors give a proper-divisor sum of 966,457, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 11^2 × 80527

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 10,710,224

Proper Divisor Sum 966,457

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9743759 ← → #9743779

Radix Representation

Decimal	9743767
Binary	100101001010110110010111 (24 bits)
Octal	0o45126627
Hexadecimal	0x94AD97

Divisor Catalog (6)

1 11 121 80,527 885,797 9,743,767

Collatz Trajectory (207 steps to reach 1)

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

9,743,767 29,231,302 14,615,651 43,846,954 21,923,477 65,770,432 32,885,216 16,442,608 8,221,304 4,110,652 2,055,326 1,027,663 3,082,990 1,541,495 4,624,486 2,312,243 6,936,730 3,468,365 10,405,096 5,202,548 2,601,274 1,300,637 3,901,912 1,950,956 975,478 487,739 1,463,218 731,609 2,194,828 1,097,414 548,707 1,646,122 823,061 2,469,184 1,234,592 617,296 308,648 154,324 77,162 38,581 115,744 57,872 28,936 14,468 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

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