λ
Ratio Atlas
Atlas › Integer Profiles › Node 772,002
772,002
2 × 32 × 7 × 11 × 557
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,089,152
Proper Divisor Sum 1,317,150
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #772001 ← → #772003

Radix Representation

Decimal 772002
Binary 10111100011110100010 (20 bits)
Octal 0o2743642
Hexadecimal 0xBC7A2

Divisor Catalog (48)

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 557 693 1,114 1,386 1,671 3,342 3,899 5,013 6,127 7,798 10,026 11,697 12,254 18,381 23,394 35,091 36,762 42,889 55,143 70,182 85,778 110,286 128,667 257,334 386,001 772,002

Collatz Trajectory (149 steps to reach 1)

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

772,002 386,001 1,158,004 579,002 289,501 868,504 434,252 217,126 108,563 325,690 162,845 488,536 244,268 122,134 61,067 183,202 91,601 274,804 137,402 68,701 206,104 103,052 51,526 25,763 77,290 38,645 115,936 57,968 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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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