λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,032,090
4,032,090
2 × 32 × 5 × 71 × 631
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 71 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,647,936
Proper Divisor Sum 6,615,846
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4032071 ← → #4032097

Radix Representation

Decimal 4032090
Binary 1111011000011001011010 (22 bits)
Octal 0o17303132
Hexadecimal 0x3D865A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 631 639 710 1,065 1,262 1,278 1,893 2,130 3,155 3,195 3,786 5,679 6,310 6,390 9,465 11,358 18,930 28,395 44,801 56,790 89,602 134,403 224,005 268,806 403,209 448,010 672,015 806,418 1,344,030 2,016,045 4,032,090

Collatz Trajectory (123 steps to reach 1)

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

4,032,090 2,016,045 6,048,136 3,024,068 1,512,034 756,017 2,268,052 1,134,026 567,013 1,701,040 850,520 425,260 212,630 106,315 318,946 159,473 478,420 239,210 119,605 358,816 179,408 89,704 44,852 22,426 11,213 33,640 16,820 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268

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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