2,004,273

3² × 43 × 5179

2,004,273 factors as 3^2 × 43 × 5179. Its 12 positive divisors give a proper-divisor sum of 958,687, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3^2 × 43 × 5179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,962,960

Proper Divisor Sum 958,687

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2004271 ← → #2004293

Radix Representation

Decimal	2004273
Binary	111101001010100110001 (21 bits)
Octal	0o7512461
Hexadecimal	0x1E9531

Divisor Catalog (12)

1 3 9 43 129 387 5,179 15,537 46,611 222,697 668,091 2,004,273

Collatz Trajectory (140 steps to reach 1)

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

2,004,273 6,012,820 3,006,410 1,503,205 4,509,616 2,254,808 1,127,404 563,702 281,851 845,554 422,777 1,268,332 634,166 317,083 951,250 475,625 1,426,876 713,438 356,719 1,070,158 535,079 1,605,238 802,619 2,407,858 1,203,929 3,611,788 1,805,894 902,947 2,708,842 1,354,421 4,063,264 2,031,632 1,015,816 507,908 253,954 126,977 380,932 190,466 95,233 285,700 142,850 71,425 214,276 107,138 53,569 160,708 80,354 40,177 120,532 60,266 30,133 90,400 45,200 22,600 11,300 5,650 2,825 8,476 4,238 2,119

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