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Atlas › Integer Profiles › Node 709,200

709,200

24 × 32 × 52 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 2,473,614
Proper Divisor Sum 1,764,414
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #709157 ← → #709201

Radix Representation

Decimal 709200
Binary 10101101001001010000 (20 bits)
Octal 0o2551120
Hexadecimal 0xAD250

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 197 200 225 240 300 360 394 400 450 591 600 720 788 900 985 1,182 1,200 1,576 1,773 1,800 1,970 2,364 2,955 3,152 3,546 3,600 3,940 4,728

Collatz Trajectory (74 steps to reach 1)

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

709,200 354,600 177,300 88,650 44,325 132,976 66,488 33,244 16,622 8,311 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22

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