λ
Modular Archive

9,005,000

23 × 54 × 1801
Abundant Even Composite

The decimal integer 9,005,000 is 100010010110011111001000 in binary (24 bits), 42263710 in octal and 8967C8 in hexadecimal. Its digit sum is 14.

Prime Factor Structure

Factorization String 2^3 × 5^4 × 1801
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,110,430
Proper Divisor Sum 12,105,430
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #9004999 ← → #9005011

Radix Representation

Decimal 9005000
Binary 100010010110011111001000 (24 bits)
Octal 0o42263710
Hexadecimal 0x8967C8

Divisor Catalog (40)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1,000 1,250 1,801 2,500 3,602 5,000 7,204 9,005 14,408 18,010 36,020 45,025 72,040 90,050 180,100 225,125 360,200 450,250 900,500 1,125,625 1,801,000 2,251,250 4,502,500 9,005,000

Collatz Trajectory (93 steps to reach 1)

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

9,005,000 4,502,500 2,251,250 1,125,625 3,376,876 1,688,438 844,219 2,532,658 1,266,329 3,798,988 1,899,494 949,747 2,849,242 1,424,621 4,273,864 2,136,932 1,068,466 534,233 1,602,700 801,350 400,675 1,202,026 601,013 1,803,040 901,520 450,760 225,380 112,690 56,345 169,036 84,518 42,259 126,778 63,389 190,168 95,084 47,542 23,771 71,314 35,657 106,972 53,486 26,743 80,230 40,115 120,346 60,173 180,520 90,260 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521

More profiles

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