λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,096,028
36,096,028
22 × 31 × 97 × 3001
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 31 × 97 × 3001
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 65,899,904
Proper Divisor Sum 29,803,876
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36096019 ← → #36096043

Radix Representation

Decimal 36096028
Binary 10001001101100100000011100 (26 bits)
Octal 0o211544034
Hexadecimal 0x226C81C

Divisor Catalog (24)

1 2 4 31 62 97 124 194 388 3,001 3,007 6,002 6,014 12,004 12,028 93,031 186,062 291,097 372,124 582,194 1,164,388 9,024,007 18,048,014 36,096,028

Collatz Trajectory (258 steps to reach 1)

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

36,096,028 18,048,014 9,024,007 27,072,022 13,536,011 40,608,034 20,304,017 60,912,052 30,456,026 15,228,013 45,684,040 22,842,020 11,421,010 5,710,505 17,131,516 8,565,758 4,282,879 12,848,638 6,424,319 19,272,958 9,636,479 28,909,438 14,454,719 43,364,158 21,682,079 65,046,238 32,523,119 97,569,358 48,784,679 146,354,038 73,177,019 219,531,058 109,765,529 329,296,588 164,648,294 82,324,147 246,972,442 123,486,221 370,458,664 185,229,332 92,614,666 46,307,333 138,922,000 69,461,000 34,730,500 17,365,250 8,682,625 26,047,876 13,023,938 6,511,969 19,535,908 9,767,954 4,883,977 14,651,932 7,325,966 3,662,983 10,988,950 5,494,475 16,483,426 8,241,713

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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