λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,982,015
2,982,015
34 × 5 × 37 × 199
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 37 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,517,600
Proper Divisor Sum 2,535,585
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2982011 ← → #2982017

Radix Representation

Decimal 2982015
Binary 1011011000000001111111 (22 bits)
Octal 0o13300177
Hexadecimal 0x2D807F

Divisor Catalog (40)

1 3 5 9 15 27 37 45 81 111 135 185 199 333 405 555 597 995 999 1,665 1,791 2,985 2,997 4,995 5,373 7,363 8,955 14,985 16,119 22,089 26,865 36,815 66,267 80,595 110,445 198,801 331,335 596,403 994,005 2,982,015

Collatz Trajectory (164 steps to reach 1)

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

2,982,015 8,946,046 4,473,023 13,419,070 6,709,535 20,128,606 10,064,303 30,192,910 15,096,455 45,289,366 22,644,683 67,934,050 33,967,025 101,901,076 50,950,538 25,475,269 76,425,808 38,212,904 19,106,452 9,553,226 4,776,613 14,329,840 7,164,920 3,582,460 1,791,230 895,615 2,686,846 1,343,423 4,030,270 2,015,135 6,045,406 3,022,703 9,068,110 4,534,055 13,602,166 6,801,083 20,403,250 10,201,625 30,604,876 15,302,438 7,651,219 22,953,658 11,476,829 34,430,488 17,215,244 8,607,622 4,303,811 12,911,434 6,455,717 19,367,152 9,683,576 4,841,788 2,420,894 1,210,447 3,631,342 1,815,671 5,447,014 2,723,507 8,170,522 4,085,261

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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