λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,088,686
72,088,686
2 × 32 × 521 × 7687
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 521 × 7687
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 156,512,304
Proper Divisor Sum 84,423,618
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #72088673 ← → #72088697

Radix Representation

Decimal 72088686
Binary 100010010111111110001101110 (27 bits)
Octal 0o422776156
Hexadecimal 0x44BFC6E

Divisor Catalog (24)

1 2 3 6 9 18 521 1,042 1,563 3,126 4,689 7,687 9,378 15,374 23,061 46,122 69,183 138,366 4,004,927 8,009,854 12,014,781 24,029,562 36,044,343 72,088,686

Collatz Trajectory (321 steps to reach 1)

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

72,088,686 36,044,343 108,133,030 54,066,515 162,199,546 81,099,773 243,299,320 121,649,660 60,824,830 30,412,415 91,237,246 45,618,623 136,855,870 68,427,935 205,283,806 102,641,903 307,925,710 153,962,855 461,888,566 230,944,283 692,832,850 346,416,425 1,039,249,276 519,624,638 259,812,319 779,436,958 389,718,479 1,169,155,438 584,577,719 1,753,733,158 876,866,579 2,630,599,738 1,315,299,869 3,945,899,608 1,972,949,804 986,474,902 493,237,451 1,479,712,354 739,856,177 2,219,568,532 1,109,784,266 554,892,133 1,664,676,400 832,338,200 416,169,100 208,084,550 104,042,275 312,126,826 156,063,413 468,190,240 234,095,120 117,047,560 58,523,780 29,261,890 14,630,945 43,892,836 21,946,418 10,973,209 32,919,628 16,459,814

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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