λ
Ratio Atlas
Atlas › Integer Profiles › Node 78,660
78,660
22 × 32 × 5 × 19 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 19 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 262,080
Proper Divisor Sum 183,420
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #78653 ← → #78691

Radix Representation

Decimal 78660
Binary 10011001101000100 (17 bits)
Octal 0o231504
Hexadecimal 0x13344

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 460 570 684 690 828 855 874 1,035 1,140 1,311 1,380 1,710 1,748 2,070 2,185 2,622 3,420 3,933

Collatz Trajectory (50 steps to reach 1)

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

78,660 39,330 19,665 58,996 29,498 14,749 44,248 22,124 11,062 5,531 16,594 8,297 24,892 12,446 6,223 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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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