λ
Prime Ledger

8,226,121

109 × 163 × 463
Deficient Odd Composite

8,226,121 has the prime decomposition 109 × 163 × 463. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 109 × 163 × 463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,370,560
Proper Divisor Sum 144,439
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8226109 ← → #8226133

Radix Representation

Decimal 8226121
Binary 11111011000010101001001 (23 bits)
Octal 0o37302511
Hexadecimal 0x7D8549

Divisor Catalog (8)

1 109 163 463 17,767 50,467 75,469 8,226,121

Collatz Trajectory (230 steps to reach 1)

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

8,226,121 24,678,364 12,339,182 6,169,591 18,508,774 9,254,387 27,763,162 13,881,581 41,644,744 20,822,372 10,411,186 5,205,593 15,616,780 7,808,390 3,904,195 11,712,586 5,856,293 17,568,880 8,784,440 4,392,220 2,196,110 1,098,055 3,294,166 1,647,083 4,941,250 2,470,625 7,411,876 3,705,938 1,852,969 5,558,908 2,779,454 1,389,727 4,169,182 2,084,591 6,253,774 3,126,887 9,380,662 4,690,331 14,070,994 7,035,497 21,106,492 10,553,246 5,276,623 15,829,870 7,914,935 23,744,806 11,872,403 35,617,210 17,808,605 53,425,816 26,712,908 13,356,454 6,678,227 20,034,682 10,017,341 30,052,024 15,026,012 7,513,006 3,756,503 11,269,510

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