λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,515,840
76,515,840
29 × 36 × 5 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 3^6 × 5 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 280
Divisor Sum (σ) 281,771,028
Proper Divisor Sum 205,255,188
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #76515823 ← → #76515841

Radix Representation

Decimal 76515840
Binary 100100011111000101000000000 (27 bits)
Octal 0o443705000
Hexadecimal 0x48F8A00

Divisor Catalog (60 of 280)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 54 60 64 72 80 81 82 90 96 108 120 123 128 135 144 160 162 164 180 192 205 216 240 243 246 256 270 288 320 324 328 360 369 384 405 410 432

Collatz Trajectory (47 steps to reach 1)

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

76,515,840 38,257,920 19,128,960 9,564,480 4,782,240 2,391,120 1,195,560 597,780 298,890 149,445 448,336 224,168 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 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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