2,005,832

2³ × 157 × 1597

2,005,832 factors as 2^3 × 157 × 1597. Its 16 positive divisors give a proper-divisor sum of 1,781,428, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 157 × 1597

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,787,260

Proper Divisor Sum 1,781,428

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2005831 ← → #2005841

Radix Representation

Decimal	2005832
Binary	111101001101101001000 (21 bits)
Octal	0o7515510
Hexadecimal	0x1E9B48

Divisor Catalog (16)

1 2 4 8 157 314 628 1,256 1,597 3,194 6,388 12,776 250,729 501,458 1,002,916 2,005,832

Collatz Trajectory (140 steps to reach 1)

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

2,005,832 1,002,916 501,458 250,729 752,188 376,094 188,047 564,142 282,071 846,214 423,107 1,269,322 634,661 1,903,984 951,992 475,996 237,998 118,999 356,998 178,499 535,498 267,749 803,248 401,624 200,812 100,406 50,203 150,610 75,305 225,916 112,958 56,479 169,438 84,719 254,158 127,079 381,238 190,619 571,858 285,929 857,788 428,894 214,447 643,342 321,671 965,014 482,507 1,447,522 723,761 2,171,284 1,085,642 542,821 1,628,464 814,232 407,116 203,558 101,779 305,338 152,669 458,008

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