1,646,379

3³ × 7 × 31 × 281

1,646,379 has the prime decomposition 3^3 × 7 × 31 × 281. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 31 × 281

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,887,680

Proper Divisor Sum 1,241,301

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1646377 ← → #1646383

Radix Representation

Decimal	1646379
Binary	110010001111100101011 (21 bits)
Octal	0o6217453
Hexadecimal	0x191F2B

Divisor Catalog (32)

1 3 7 9 21 27 31 63 93 189 217 279 281 651 837 843 1,953 1,967 2,529 5,859 5,901 7,587 8,711 17,703 26,133 53,109 60,977 78,399 182,931 235,197 548,793 1,646,379

Collatz Trajectory (176 steps to reach 1)

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

1,646,379 4,939,138 2,469,569 7,408,708 3,704,354 1,852,177 5,556,532 2,778,266 1,389,133 4,167,400 2,083,700 1,041,850 520,925 1,562,776 781,388 390,694 195,347 586,042 293,021 879,064 439,532 219,766 109,883 329,650 164,825 494,476 247,238 123,619 370,858 185,429 556,288 278,144 139,072 69,536 34,768 17,384 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744

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