λ
Ratio Atlas
Atlas › Integer Profiles › Node 77,700
77,700
22 × 3 × 52 × 7 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 263,872
Proper Divisor Sum 186,172
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #77699 ← → #77711

Radix Representation

Decimal 77700
Binary 10010111110000100 (17 bits)
Octal 0o227604
Hexadecimal 0x12F84

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1,036 1,050 1,110 1,295 1,554 1,850 2,100 2,220 2,590 2,775 3,108 3,700

Collatz Trajectory (63 steps to reach 1)

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

77,700 38,850 19,425 58,276 29,138 14,569 43,708 21,854 10,927 32,782 16,391 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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