λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,045,950
2,045,950
2 × 52 × 17 × 29 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 29 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,218,480
Proper Divisor Sum 2,172,530
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2045929 ← → #2045963

Radix Representation

Decimal 2045950
Binary 111110011011111111110 (21 bits)
Octal 0o7633776
Hexadecimal 0x1F37FE

Divisor Catalog (48)

1 2 5 10 17 25 29 34 50 58 83 85 145 166 170 290 415 425 493 725 830 850 986 1,411 1,450 2,075 2,407 2,465 2,822 4,150 4,814 4,930 7,055 12,035 12,325 14,110 24,070 24,650 35,275 40,919 60,175 70,550 81,838 120,350 204,595 409,190 1,022,975 2,045,950

Collatz Trajectory (321 steps to reach 1)

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

2,045,950 1,022,975 3,068,926 1,534,463 4,603,390 2,301,695 6,905,086 3,452,543 10,357,630 5,178,815 15,536,446 7,768,223 23,304,670 11,652,335 34,957,006 17,478,503 52,435,510 26,217,755 78,653,266 39,326,633 117,979,900 58,989,950 29,494,975 88,484,926 44,242,463 132,727,390 66,363,695 199,091,086 99,545,543 298,636,630 149,318,315 447,954,946 223,977,473 671,932,420 335,966,210 167,983,105 503,949,316 251,974,658 125,987,329 377,961,988 188,980,994 94,490,497 283,471,492 141,735,746 70,867,873 212,603,620 106,301,810 53,150,905 159,452,716 79,726,358 39,863,179 119,589,538 59,794,769 179,384,308 89,692,154 44,846,077 134,538,232 67,269,116 33,634,558 16,817,279

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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