λ
Prime Ledger

8,231,109

3 × 2743703
Deficient Odd Composite

8,231,109 has the prime decomposition 3 × 2743703. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2743703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,974,816
Proper Divisor Sum 2,743,707
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8231107 ← → #8231137

Radix Representation

Decimal 8231109
Binary 11111011001100011000101 (23 bits)
Octal 0o37314305
Hexadecimal 0x7D98C5

Divisor Catalog (4)

1 3 2,743,703 8,231,109

Collatz Trajectory (137 steps to reach 1)

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

8,231,109 24,693,328 12,346,664 6,173,332 3,086,666 1,543,333 4,630,000 2,315,000 1,157,500 578,750 289,375 868,126 434,063 1,302,190 651,095 1,953,286 976,643 2,929,930 1,464,965 4,394,896 2,197,448 1,098,724 549,362 274,681 824,044 412,022 206,011 618,034 309,017 927,052 463,526 231,763 695,290 347,645 1,042,936 521,468 260,734 130,367 391,102 195,551 586,654 293,327 879,982 439,991 1,319,974 659,987 1,979,962 989,981 2,969,944 1,484,972 742,486 371,243 1,113,730 556,865 1,670,596 835,298 417,649 1,252,948 626,474 313,237

More profiles

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