λ
Ratio Atlas
Atlas › Integer Profiles › Node 43,132,012
43,132,012
22 × 7 × 11 × 131 × 1069
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 131 × 1069
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 94,913,280
Proper Divisor Sum 51,781,268
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #43131997 ← → #43132013

Radix Representation

Decimal 43132012
Binary 10100100100010010001101100 (26 bits)
Octal 0o244422154
Hexadecimal 0x292246C

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1,069 1,441 1,834 2,138 2,882 3,668 4,276 5,764 7,483 10,087 11,759 14,966 20,174 23,518 29,932 40,348 47,036 82,313 140,039 164,626 280,078 329,252 560,156 980,273 1,540,429 1,960,546 3,080,858 3,921,092 6,161,716 10,783,003 21,566,006 43,132,012

Collatz Trajectory (266 steps to reach 1)

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

43,132,012 21,566,006 10,783,003 32,349,010 16,174,505 48,523,516 24,261,758 12,130,879 36,392,638 18,196,319 54,588,958 27,294,479 81,883,438 40,941,719 122,825,158 61,412,579 184,237,738 92,118,869 276,356,608 138,178,304 69,089,152 34,544,576 17,272,288 8,636,144 4,318,072 2,159,036 1,079,518 539,759 1,619,278 809,639 2,428,918 1,214,459 3,643,378 1,821,689 5,465,068 2,732,534 1,366,267 4,098,802 2,049,401 6,148,204 3,074,102 1,537,051 4,611,154 2,305,577 6,916,732 3,458,366 1,729,183 5,187,550 2,593,775 7,781,326 3,890,663 11,671,990 5,835,995 17,507,986 8,753,993 26,261,980 13,130,990 6,565,495 19,696,486 9,848,243

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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