λ
Integer Codex

9,665,731

9665731
Deficient Odd Prime

For 9,665,731, the 2 positive divisors have a total of 9,665,732. Removing 9,665,731 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 9665731
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,665,732
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9665723 ← → #9665749

Radix Representation

Decimal 9665731
Binary 100100110111110011000011 (24 bits)
Octal 0o44676303
Hexadecimal 0x937CC3

Divisor Catalog (2)

Collatz Trajectory (150 steps to reach 1)

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

9,665,731 28,997,194 14,498,597 43,495,792 21,747,896 10,873,948 5,436,974 2,718,487 8,155,462 4,077,731 12,233,194 6,116,597 18,349,792 9,174,896 4,587,448 2,293,724 1,146,862 573,431 1,720,294 860,147 2,580,442 1,290,221 3,870,664 1,935,332 967,666 483,833 1,451,500 725,750 362,875 1,088,626 544,313 1,632,940 816,470 408,235 1,224,706 612,353 1,837,060 918,530 459,265 1,377,796 688,898 344,449 1,033,348 516,674 258,337 775,012 387,506 193,753 581,260 290,630 145,315 435,946 217,973 653,920 326,960 163,480 81,740 40,870 20,435 61,306

More profiles

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