1,323,008

2¹² × 17 × 19

1,323,008 has the prime decomposition 2^12 × 17 × 19. Its 3 distinct prime factors produce 52 positive divisors.

Prime Factor Structure

Factorization String 2^12 × 17 × 19

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 52

Divisor Sum (σ) 2,948,760

Proper Divisor Sum 1,625,752

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1323001 ← → #1323017

Radix Representation

Decimal	1323008
Binary	101000011000000000000 (21 bits)
Octal	0o5030000
Hexadecimal	0x143000

Divisor Catalog (52)

1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 512 544 608 646 1,024 1,088 1,216 1,292 2,048 2,176 2,432 2,584 4,096 4,352 4,864 5,168 8,704 9,728 10,336 17,408 19,456 20,672 34,816 38,912 41,344 69,632 77,824 82,688 165,376 330,752 661,504 1,323,008

Collatz Trajectory (111 steps to reach 1)

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

1,323,008 661,504 330,752 165,376 82,688 41,344 20,672 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

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