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147,000

23 × 3 × 53 × 72
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^3 × 7^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 533,520
Proper Divisor Sum 386,520
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #146989 ← → #147011

Radix Representation

Decimal 147000
Binary 100011111000111000 (18 bits)
Octal 0o437070
Hexadecimal 0x23E38

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 125 140 147 150 168 175 196 200 210 245 250 280 294 300 350 375 392 420 490 500 525 588 600 700 735 750 840 875

Collatz Trajectory (64 steps to reach 1)

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

147,000 73,500 36,750 18,375 55,126 27,563 82,690 41,345 124,036 62,018 31,009 93,028 46,514 23,257 69,772 34,886 17,443 52,330 26,165 78,496 39,248 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

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