λ
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Atlas › Integer Profiles › Node 1,850,442

1,850,442

2 × 3 × 11 × 232 × 53
Abundant Even Composite

1,850,442 factors as 2 × 3 × 11 × 23^2 × 53. Its 48 positive divisors give a proper-divisor sum of 2,449,686, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 23^2 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,300,128
Proper Divisor Sum 2,449,686
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1850441 ← → #1850447

Radix Representation

Decimal 1850442
Binary 111000011110001001010 (21 bits)
Octal 0o7036112
Hexadecimal 0x1C3C4A

Divisor Catalog (48)

1 2 3 6 11 22 23 33 46 53 66 69 106 138 159 253 318 506 529 583 759 1,058 1,166 1,219 1,518 1,587 1,749 2,438 3,174 3,498 3,657 5,819 7,314 11,638 13,409 17,457 26,818 28,037 34,914 40,227 56,074 80,454 84,111 168,222 308,407 616,814 925,221 1,850,442

Collatz Trajectory (202 steps to reach 1)

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

1,850,442 925,221 2,775,664 1,387,832 693,916 346,958 173,479 520,438 260,219 780,658 390,329 1,170,988 585,494 292,747 878,242 439,121 1,317,364 658,682 329,341 988,024 494,012 247,006 123,503 370,510 185,255 555,766 277,883 833,650 416,825 1,250,476 625,238 312,619 937,858 468,929 1,406,788 703,394 351,697 1,055,092 527,546 263,773 791,320 395,660 197,830 98,915 296,746 148,373 445,120 222,560 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738

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