3,009,000

2³ × 3 × 5³ × 17 × 59

3,009,000 is even and not a perfect square. Its factorization is 2^3 × 3 × 5^3 × 17 × 59 and its 128 divisors sum to 10,108,800.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^3 × 17 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 10,108,800

Proper Divisor Sum 7,099,800

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #3008981 ← → #3009023

Radix Representation

Decimal	3009000
Binary	1011011110100111101000 (22 bits)
Octal	0o13364750
Hexadecimal	0x2DE9E8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 59 60 68 75 85 100 102 118 120 125 136 150 170 177 200 204 236 250 255 295 300 340 354 375 408 425 472 500 510 590 600 680 708 750 850 885 1,000 1,003 1,020 1,180 1,275

Collatz Trajectory (257 steps to reach 1)

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

3,009,000 1,504,500 752,250 376,125 1,128,376 564,188 282,094 141,047 423,142 211,571 634,714 317,357 952,072 476,036 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903 1,016,710 508,355 1,525,066 762,533 2,287,600 1,143,800 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815 2,171,446 1,085,723 3,257,170 1,628,585 4,885,756 2,442,878 1,221,439 3,664,318 1,832,159 5,496,478 2,748,239 8,244,718 4,122,359

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