λ
Ratio Atlas
Atlas › Integer Profiles › Node 73,102,480
73,102,480
24 × 5 × 11 × 83071
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 83071
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 185,416,704
Proper Divisor Sum 112,314,224
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #73102457 ← → #73102483

Radix Representation

Decimal 73102480
Binary 100010110110111010010010000 (27 bits)
Octal 0o426672220
Hexadecimal 0x45B7490

Divisor Catalog (40)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 83,071 166,142 332,284 415,355 664,568 830,710 913,781 1,329,136 1,661,420 1,827,562 3,322,840 3,655,124 4,568,905 6,645,680 7,310,248 9,137,810 14,620,496 18,275,620 36,551,240 73,102,480

Collatz Trajectory (171 steps to reach 1)

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

73,102,480 36,551,240 18,275,620 9,137,810 4,568,905 13,706,716 6,853,358 3,426,679 10,280,038 5,140,019 15,420,058 7,710,029 23,130,088 11,565,044 5,782,522 2,891,261 8,673,784 4,336,892 2,168,446 1,084,223 3,252,670 1,626,335 4,879,006 2,439,503 7,318,510 3,659,255 10,977,766 5,488,883 16,466,650 8,233,325 24,699,976 12,349,988 6,174,994 3,087,497 9,262,492 4,631,246 2,315,623 6,946,870 3,473,435 10,420,306 5,210,153 15,630,460 7,815,230 3,907,615 11,722,846 5,861,423 17,584,270 8,792,135 26,376,406 13,188,203 39,564,610 19,782,305 59,346,916 29,673,458 14,836,729 44,510,188 22,255,094 11,127,547 33,382,642 16,691,321

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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