λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,969,710
26,969,710
2 × 5 × 29 × 113 × 823
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 29 × 113 × 823
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 50,725,440
Proper Divisor Sum 23,755,730
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #26969693 ← → #26969713

Radix Representation

Decimal 26969710
Binary 1100110111000011001101110 (25 bits)
Octal 0o146703156
Hexadecimal 0x19B866E

Divisor Catalog (32)

1 2 5 10 29 58 113 145 226 290 565 823 1,130 1,646 3,277 4,115 6,554 8,230 16,385 23,867 32,770 47,734 92,999 119,335 185,998 238,670 464,995 929,990 2,696,971 5,393,942 13,484,855 26,969,710

Collatz Trajectory (247 steps to reach 1)

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

26,969,710 13,484,855 40,454,566 20,227,283 60,681,850 30,340,925 91,022,776 45,511,388 22,755,694 11,377,847 34,133,542 17,066,771 51,200,314 25,600,157 76,800,472 38,400,236 19,200,118 9,600,059 28,800,178 14,400,089 43,200,268 21,600,134 10,800,067 32,400,202 16,200,101 48,600,304 24,300,152 12,150,076 6,075,038 3,037,519 9,112,558 4,556,279 13,668,838 6,834,419 20,503,258 10,251,629 30,754,888 15,377,444 7,688,722 3,844,361 11,533,084 5,766,542 2,883,271 8,649,814 4,324,907 12,974,722 6,487,361 19,462,084 9,731,042 4,865,521 14,596,564 7,298,282 3,649,141 10,947,424 5,473,712 2,736,856 1,368,428 684,214 342,107 1,026,322

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
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