λ
Sigma Notebook

9,943,065

32 × 5 × 11 × 53 × 379
Deficient Odd Composite

9,943,065 is odd and not a perfect square. Its factorization is 3^2 × 5 × 11 × 53 × 379 and its 48 divisors sum to 19,206,720.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 53 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,206,720
Proper Divisor Sum 9,263,655
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9943057 ← → #9943067

Radix Representation

Decimal 9943065
Binary 100101111011100000011001 (24 bits)
Octal 0o45734031
Hexadecimal 0x97B819

Divisor Catalog (48)

1 3 5 9 11 15 33 45 53 55 99 159 165 265 379 477 495 583 795 1,137 1,749 1,895 2,385 2,915 3,411 4,169 5,247 5,685 8,745 12,507 17,055 20,087 20,845 26,235 37,521 60,261 62,535 100,435 180,783 187,605 220,957 301,305 662,871 903,915 1,104,785 1,988,613 3,314,355 9,943,065

Collatz Trajectory (114 steps to reach 1)

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

9,943,065 29,829,196 14,914,598 7,457,299 22,371,898 11,185,949 33,557,848 16,778,924 8,389,462 4,194,731 12,584,194 6,292,097 18,876,292 9,438,146 4,719,073 14,157,220 7,078,610 3,539,305 10,617,916 5,308,958 2,654,479 7,963,438 3,981,719 11,945,158 5,972,579 17,917,738 8,958,869 26,876,608 13,438,304 6,719,152 3,359,576 1,679,788 839,894 419,947 1,259,842 629,921 1,889,764 944,882 472,441 1,417,324 708,662 354,331 1,062,994 531,497 1,594,492 797,246 398,623 1,195,870 597,935 1,793,806 896,903 2,690,710 1,345,355 4,036,066 2,018,033 6,054,100 3,027,050 1,513,525 4,540,576 2,270,288

More profiles

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