λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,130,130
4,130,130
2 × 3 × 5 × 31 × 4441
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 31 × 4441
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,234,368
Proper Divisor Sum 6,104,238
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #4130129 ← → #4130143

Radix Representation

Decimal 4130130
Binary 1111110000010101010010 (22 bits)
Octal 0o17602522
Hexadecimal 0x3F0552

Divisor Catalog (32)

1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 4,441 8,882 13,323 22,205 26,646 44,410 66,615 133,230 137,671 275,342 413,013 688,355 826,026 1,376,710 2,065,065 4,130,130

Collatz Trajectory (260 steps to reach 1)

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

4,130,130 2,065,065 6,195,196 3,097,598 1,548,799 4,646,398 2,323,199 6,969,598 3,484,799 10,454,398 5,227,199 15,681,598 7,840,799 23,522,398 11,761,199 35,283,598 17,641,799 52,925,398 26,462,699 79,388,098 39,694,049 119,082,148 59,541,074 29,770,537 89,311,612 44,655,806 22,327,903 66,983,710 33,491,855 100,475,566 50,237,783 150,713,350 75,356,675 226,070,026 113,035,013 339,105,040 169,552,520 84,776,260 42,388,130 21,194,065 63,582,196 31,791,098 15,895,549 47,686,648 23,843,324 11,921,662 5,960,831 17,882,494 8,941,247 26,823,742 13,411,871 40,235,614 20,117,807 60,353,422 30,176,711 90,530,134 45,265,067 135,795,202 67,897,601 203,692,804

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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