λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,230
76,230
2 × 32 × 5 × 7 × 112
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 11^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 248,976
Proper Divisor Sum 172,746
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #76213 ← → #76231

Radix Representation

Decimal 76230
Binary 10010100111000110 (17 bits)
Octal 0o224706
Hexadecimal 0x129C6

Divisor Catalog (60 of 72)

1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 605 630 693 726 770 847 990 1,089 1,155 1,210 1,386 1,694 1,815 2,178 2,310 2,541 3,465 3,630

Collatz Trajectory (81 steps to reach 1)

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

76,230 38,115 114,346 57,173 171,520 85,760 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 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

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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