λ
Ratio Atlas
Atlas › Integer Profiles › Node 75,480
75,480
23 × 3 × 5 × 17 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 246,240
Proper Divisor Sum 170,760
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #75479 ← → #75503

Radix Representation

Decimal 75480
Binary 10010011011011000 (17 bits)
Octal 0o223330
Hexadecimal 0x126D8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1,020 1,110 1,258 1,480 1,887 2,040 2,220 2,516 3,145 3,774 4,440 5,032 6,290 7,548 9,435 12,580 15,096

Collatz Trajectory (156 steps to reach 1)

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

75,480 37,740 18,870 9,435 28,306 14,153 42,460 21,230 10,615 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485

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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