λ
Ratio Atlas
Atlas › Integer Profiles › Node 360,720
360,720
24 × 33 × 5 × 167
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,249,920
Proper Divisor Sum 889,200
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #360653 ← → #360749

Radix Representation

Decimal 360720
Binary 1011000000100010000 (19 bits)
Octal 0o1300420
Hexadecimal 0x58110

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 167 180 216 240 270 334 360 432 501 540 668 720 835 1,002 1,080 1,336 1,503 1,670 2,004 2,160 2,505 2,672 3,006 3,340 4,008 4,509 5,010 6,012 6,680 7,515

Collatz Trajectory (91 steps to reach 1)

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

360,720 180,360 90,180 45,090 22,545 67,636 33,818 16,909 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 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

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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