λ
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Atlas › Integer Profiles › Node 2,027,493

2,027,493

32 × 132 × 31 × 43
Deficient Odd Composite

2,027,493 factors as 3^2 × 13^2 × 31 × 43. Its 36 positive divisors give a proper-divisor sum of 1,322,139, so this integer is deficient. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 3^2 × 13^2 × 31 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,349,632
Proper Divisor Sum 1,322,139
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2027461 ← → #2027497

Radix Representation

Decimal 2027493
Binary 111101110111111100101 (21 bits)
Octal 0o7567745
Hexadecimal 0x1EEFE5

Divisor Catalog (36)

1 3 9 13 31 39 43 93 117 129 169 279 387 403 507 559 1,209 1,333 1,521 1,677 3,627 3,999 5,031 5,239 7,267 11,997 15,717 17,329 21,801 47,151 51,987 65,403 155,961 225,277 675,831 2,027,493

Collatz Trajectory (246 steps to reach 1)

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

2,027,493 6,082,480 3,041,240 1,520,620 760,310 380,155 1,140,466 570,233 1,710,700 855,350 427,675 1,283,026 641,513 1,924,540 962,270 481,135 1,443,406 721,703 2,165,110 1,082,555 3,247,666 1,623,833 4,871,500 2,435,750 1,217,875 3,653,626 1,826,813 5,480,440 2,740,220 1,370,110 685,055 2,055,166 1,027,583 3,082,750 1,541,375 4,624,126 2,312,063 6,936,190 3,468,095 10,404,286 5,202,143 15,606,430 7,803,215 23,409,646 11,704,823 35,114,470 17,557,235 52,671,706 26,335,853 79,007,560 39,503,780 19,751,890 9,875,945 29,627,836 14,813,918 7,406,959 22,220,878 11,110,439 33,331,318 16,665,659

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