λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,806,810

1,806,810

2 × 3 × 5 × 229 × 263
Abundant Even Composite

1,806,810 factors as 2 × 3 × 5 × 229 × 263. Its 32 positive divisors give a proper-divisor sum of 2,565,030, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 229 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,371,840
Proper Divisor Sum 2,565,030
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1806803 ← → #1806839

Radix Representation

Decimal 1806810
Binary 110111001000111011010 (21 bits)
Octal 0o6710732
Hexadecimal 0x1B91DA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 229 263 458 526 687 789 1,145 1,315 1,374 1,578 2,290 2,630 3,435 3,945 6,870 7,890 60,227 120,454 180,681 301,135 361,362 602,270 903,405 1,806,810

Collatz Trajectory (158 steps to reach 1)

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

1,806,810 903,405 2,710,216 1,355,108 677,554 338,777 1,016,332 508,166 254,083 762,250 381,125 1,143,376 571,688 285,844 142,922 71,461 214,384 107,192 53,596 26,798 13,399 40,198 20,099 60,298 30,149 90,448 45,224 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323

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