λ
Ratio Atlas
Atlas › Integer Profiles › Node 65,010
65,010
2 × 3 × 5 × 11 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 171,072
Proper Divisor Sum 106,062
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #65003 ← → #65011

Radix Representation

Decimal 65010
Binary 1111110111110010 (16 bits)
Octal 0o176762
Hexadecimal 0xFDF2

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 197 330 394 591 985 1,182 1,970 2,167 2,955 4,334 5,910 6,501 10,835 13,002 21,670 32,505 65,010

Collatz Trajectory (68 steps to reach 1)

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

65,010 32,505 97,516 48,758 24,379 73,138 36,569 109,708 54,854 27,427 82,282 41,141 123,424 61,712 30,856 15,428 7,714 3,857 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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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