λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,396,690
21,396,690
2 × 33 × 5 × 7 × 11321
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 11321
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 65,214,720
Proper Divisor Sum 43,818,030
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #21396673 ← → #21396691

Radix Representation

Decimal 21396690
Binary 1010001100111110011010010 (25 bits)
Octal 0o121476322
Hexadecimal 0x1467CD2

Divisor Catalog (60 of 64)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1,890 11,321 22,642 33,963 56,605 67,926 79,247 101,889 113,210 158,494 169,815 203,778 237,741 305,667 339,630 396,235 475,482 509,445 611,334 713,223 792,470 1,018,890 1,188,705 1,426,446 1,528,335 2,139,669 2,377,410 3,056,670 3,566,115

Collatz Trajectory (159 steps to reach 1)

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

21,396,690 10,698,345 32,095,036 16,047,518 8,023,759 24,071,278 12,035,639 36,106,918 18,053,459 54,160,378 27,080,189 81,240,568 40,620,284 20,310,142 10,155,071 30,465,214 15,232,607 45,697,822 22,848,911 68,546,734 34,273,367 102,820,102 51,410,051 154,230,154 77,115,077 231,345,232 115,672,616 57,836,308 28,918,154 14,459,077 43,377,232 21,688,616 10,844,308 5,422,154 2,711,077 8,133,232 4,066,616 2,033,308 1,016,654 508,327 1,524,982 762,491 2,287,474 1,143,737 3,431,212 1,715,606 857,803 2,573,410 1,286,705 3,860,116 1,930,058 965,029 2,895,088 1,447,544 723,772 361,886 180,943 542,830 271,415 814,246

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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