λ
Math Directory

9,655,443

34 × 7 × 17029
Deficient Odd Composite

9,655,443 factors as 3^4 × 7 × 17029. Its 20 positive divisors give a proper-divisor sum of 6,829,597, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 3^4 × 7 × 17029
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,485,040
Proper Divisor Sum 6,829,597
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9655421 ← → #9655447

Radix Representation

Decimal 9655443
Binary 100100110101010010010011 (24 bits)
Octal 0o44652223
Hexadecimal 0x935493

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 17,029 51,087 119,203 153,261 357,609 459,783 1,072,827 1,379,349 3,218,481 9,655,443

Collatz Trajectory (269 steps to reach 1)

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

9,655,443 28,966,330 14,483,165 43,449,496 21,724,748 10,862,374 5,431,187 16,293,562 8,146,781 24,440,344 12,220,172 6,110,086 3,055,043 9,165,130 4,582,565 13,747,696 6,873,848 3,436,924 1,718,462 859,231 2,577,694 1,288,847 3,866,542 1,933,271 5,799,814 2,899,907 8,699,722 4,349,861 13,049,584 6,524,792 3,262,396 1,631,198 815,599 2,446,798 1,223,399 3,670,198 1,835,099 5,505,298 2,752,649 8,257,948 4,128,974 2,064,487 6,193,462 3,096,731 9,290,194 4,645,097 13,935,292 6,967,646 3,483,823 10,451,470 5,225,735 15,677,206 7,838,603 23,515,810 11,757,905 35,273,716 17,636,858 8,818,429 26,455,288 13,227,644

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