λ
Prime Ledger

9,823,143

3 × 112 × 27061
Deficient Odd Composite

9,823,143 has the prime decomposition 3 × 11^2 × 27061. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 27061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,396,984
Proper Divisor Sum 4,573,841
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9823129 ← → #9823153

Radix Representation

Decimal 9823143
Binary 100101011110001110100111 (24 bits)
Octal 0o45361647
Hexadecimal 0x95E3A7

Divisor Catalog (12)

1 3 11 33 121 363 27,061 81,183 297,671 893,013 3,274,381 9,823,143

Collatz Trajectory (132 steps to reach 1)

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

9,823,143 29,469,430 14,734,715 44,204,146 22,102,073 66,306,220 33,153,110 16,576,555 49,729,666 24,864,833 74,594,500 37,297,250 18,648,625 55,945,876 27,972,938 13,986,469 41,959,408 20,979,704 10,489,852 5,244,926 2,622,463 7,867,390 3,933,695 11,801,086 5,900,543 17,701,630 8,850,815 26,552,446 13,276,223 39,828,670 19,914,335 59,743,006 29,871,503 89,614,510 44,807,255 134,421,766 67,210,883 201,632,650 100,816,325 302,448,976 151,224,488 75,612,244 37,806,122 18,903,061 56,709,184 28,354,592 14,177,296 7,088,648 3,544,324 1,772,162 886,081 2,658,244 1,329,122 664,561 1,993,684 996,842 498,421 1,495,264 747,632 373,816

More profiles

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