λ
Prime Ledger

4,349,691

32 × 23 × 21013
Deficient Odd Composite

4,349,691 has the prime decomposition 3^2 × 23 × 21013. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 21013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,556,368
Proper Divisor Sum 2,206,677
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4349687 ← → #4349693

Radix Representation

Decimal 4349691
Binary 10000100101111011111011 (23 bits)
Octal 0o20457373
Hexadecimal 0x425EFB

Divisor Catalog (12)

1 3 9 23 69 207 21,013 63,039 189,117 483,299 1,449,897 4,349,691

Collatz Trajectory (180 steps to reach 1)

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

4,349,691 13,049,074 6,524,537 19,573,612 9,786,806 4,893,403 14,680,210 7,340,105 22,020,316 11,010,158 5,505,079 16,515,238 8,257,619 24,772,858 12,386,429 37,159,288 18,579,644 9,289,822 4,644,911 13,934,734 6,967,367 20,902,102 10,451,051 31,353,154 15,676,577 47,029,732 23,514,866 11,757,433 35,272,300 17,636,150 8,818,075 26,454,226 13,227,113 39,681,340 19,840,670 9,920,335 29,761,006 14,880,503 44,641,510 22,320,755 66,962,266 33,481,133 100,443,400 50,221,700 25,110,850 12,555,425 37,666,276 18,833,138 9,416,569 28,249,708 14,124,854 7,062,427 21,187,282 10,593,641 31,780,924 15,890,462 7,945,231 23,835,694 11,917,847 35,753,542

More profiles

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