λ
Zalai Atlas

1,800,058

2 × 13 × 69233
Deficient Even Composite

1,800,058 has the prime decomposition 2 × 13 × 69233. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 69233
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,907,828
Proper Divisor Sum 1,107,770
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1800047 ← → #1800067

Radix Representation

Decimal 1800058
Binary 110110111011101111010 (21 bits)
Octal 0o6673572
Hexadecimal 0x1B777A

Divisor Catalog (8)

1 2 13 26 69,233 138,466 900,029 1,800,058

Collatz Trajectory (189 steps to reach 1)

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

1,800,058 900,029 2,700,088 1,350,044 675,022 337,511 1,012,534 506,267 1,518,802 759,401 2,278,204 1,139,102 569,551 1,708,654 854,327 2,562,982 1,281,491 3,844,474 1,922,237 5,766,712 2,883,356 1,441,678 720,839 2,162,518 1,081,259 3,243,778 1,621,889 4,865,668 2,432,834 1,216,417 3,649,252 1,824,626 912,313 2,736,940 1,368,470 684,235 2,052,706 1,026,353 3,079,060 1,539,530 769,765 2,309,296 1,154,648 577,324 288,662 144,331 432,994 216,497 649,492 324,746 162,373 487,120 243,560 121,780 60,890 30,445 91,336 45,668 22,834 11,417

More profiles

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