λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,121,705
20,121,705
32 × 5 × 149 × 3001
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 149 × 3001
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,123,400
Proper Divisor Sum 15,001,695
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20121691 ← → #20121713

Radix Representation

Decimal 20121705
Binary 1001100110000100001101001 (25 bits)
Octal 0o114604151
Hexadecimal 0x1330869

Divisor Catalog (24)

1 3 5 9 15 45 149 447 745 1,341 2,235 3,001 6,705 9,003 15,005 27,009 45,015 135,045 447,149 1,341,447 2,235,745 4,024,341 6,707,235 20,121,705

Collatz Trajectory (177 steps to reach 1)

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

20,121,705 60,365,116 30,182,558 15,091,279 45,273,838 22,636,919 67,910,758 33,955,379 101,866,138 50,933,069 152,799,208 76,399,604 38,199,802 19,099,901 57,299,704 28,649,852 14,324,926 7,162,463 21,487,390 10,743,695 32,231,086 16,115,543 48,346,630 24,173,315 72,519,946 36,259,973 108,779,920 54,389,960 27,194,980 13,597,490 6,798,745 20,396,236 10,198,118 5,099,059 15,297,178 7,648,589 22,945,768 11,472,884 5,736,442 2,868,221 8,604,664 4,302,332 2,151,166 1,075,583 3,226,750 1,613,375 4,840,126 2,420,063 7,260,190 3,630,095 10,890,286 5,445,143 16,335,430 8,167,715 24,503,146 12,251,573 36,754,720 18,377,360 9,188,680 4,594,340

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #20,121,704 Browse Full Index Next Integer #20,121,706 →