λ
Prime Ledger

7,218,093

3 × 313 × 7687
Deficient Odd Composite

7,218,093 has the prime decomposition 3 × 313 × 7687. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 313 × 7687
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,656,128
Proper Divisor Sum 2,438,035
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7218083 ← → #7218121

Radix Representation

Decimal 7218093
Binary 11011100010001110101101 (23 bits)
Octal 0o33421655
Hexadecimal 0x6E23AD

Divisor Catalog (8)

1 3 313 939 7,687 23,061 2,406,031 7,218,093

Collatz Trajectory (129 steps to reach 1)

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

7,218,093 21,654,280 10,827,140 5,413,570 2,706,785 8,120,356 4,060,178 2,030,089 6,090,268 3,045,134 1,522,567 4,567,702 2,283,851 6,851,554 3,425,777 10,277,332 5,138,666 2,569,333 7,708,000 3,854,000 1,927,000 963,500 481,750 240,875 722,626 361,313 1,083,940 541,970 270,985 812,956 406,478 203,239 609,718 304,859 914,578 457,289 1,371,868 685,934 342,967 1,028,902 514,451 1,543,354 771,677 2,315,032 1,157,516 578,758 289,379 868,138 434,069 1,302,208 651,104 325,552 162,776 81,388 40,694 20,347 61,042 30,521 91,564 45,782

More profiles

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