λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,502,002
45,502,002
2 × 32 × 7 × 13 × 27779
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 27779
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 121,343,040
Proper Divisor Sum 75,841,038
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #45501991 ← → #45502003

Radix Representation

Decimal 45502002
Binary 10101101100100111000110010 (26 bits)
Octal 0o255447062
Hexadecimal 0x2B64E32

Divisor Catalog (48)

1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1,638 27,779 55,558 83,337 166,674 194,453 250,011 361,127 388,906 500,022 583,359 722,254 1,083,381 1,166,718 1,750,077 2,166,762 2,527,889 3,250,143 3,500,154 5,055,778 6,500,286 7,583,667 15,167,334 22,751,001 45,502,002

Collatz Trajectory (155 steps to reach 1)

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

45,502,002 22,751,001 68,253,004 34,126,502 17,063,251 51,189,754 25,594,877 76,784,632 38,392,316 19,196,158 9,598,079 28,794,238 14,397,119 43,191,358 21,595,679 64,787,038 32,393,519 97,180,558 48,590,279 145,770,838 72,885,419 218,656,258 109,328,129 327,984,388 163,992,194 81,996,097 245,988,292 122,994,146 61,497,073 184,491,220 92,245,610 46,122,805 138,368,416 69,184,208 34,592,104 17,296,052 8,648,026 4,324,013 12,972,040 6,486,020 3,243,010 1,621,505 4,864,516 2,432,258 1,216,129 3,648,388 1,824,194 912,097 2,736,292 1,368,146 684,073 2,052,220 1,026,110 513,055 1,539,166 769,583 2,308,750 1,154,375 3,463,126 1,731,563

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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