λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,272,000
7,272,000
26 × 32 × 53 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^3 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 26,270,712
Proper Divisor Sum 18,998,712
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7271989 ← → #7272007

Radix Representation

Decimal 7272000
Binary 11011101111011001000000 (23 bits)
Octal 0o33573100
Hexadecimal 0x6EF640

Divisor Catalog (60 of 168)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 101 120 125 144 150 160 180 192 200 202 225 240 250 288 300 303 320 360 375 400 404 450 480 500 505 576 600 606 720

Collatz Trajectory (67 steps to reach 1)

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

7,272,000 3,636,000 1,818,000 909,000 454,500 227,250 113,625 340,876 170,438 85,219 255,658 127,829 383,488 191,744 95,872 47,936 23,968 11,984 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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