λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,576
72,576
27 × 34 × 7
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 246,840
Proper Divisor Sum 174,264
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #72559 ← → #72577

Radix Representation

Decimal 72576
Binary 10001101110000000 (17 bits)
Octal 0o215600
Hexadecimal 0x11B80

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1,008 1,134 1,152 1,296 1,344

Collatz Trajectory (68 steps to reach 1)

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

72,576 36,288 18,144 9,072 4,536 2,268 1,134 567 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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