λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,096,830
21,096,830
2 × 5 × 17 × 193 × 643
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 17 × 193 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,479,264
Proper Divisor Sum 19,382,434
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #21096799 ← → #21096839

Radix Representation

Decimal 21096830
Binary 1010000011110100101111110 (25 bits)
Octal 0o120364576
Hexadecimal 0x141E97E

Divisor Catalog (32)

1 2 5 10 17 34 85 170 193 386 643 965 1,286 1,930 3,215 3,281 6,430 6,562 10,931 16,405 21,862 32,810 54,655 109,310 124,099 248,198 620,495 1,240,990 2,109,683 4,219,366 10,548,415 21,096,830

Collatz Trajectory (151 steps to reach 1)

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

21,096,830 10,548,415 31,645,246 15,822,623 47,467,870 23,733,935 71,201,806 35,600,903 106,802,710 53,401,355 160,204,066 80,102,033 240,306,100 120,153,050 60,076,525 180,229,576 90,114,788 45,057,394 22,528,697 67,586,092 33,793,046 16,896,523 50,689,570 25,344,785 76,034,356 38,017,178 19,008,589 57,025,768 28,512,884 14,256,442 7,128,221 21,384,664 10,692,332 5,346,166 2,673,083 8,019,250 4,009,625 12,028,876 6,014,438 3,007,219 9,021,658 4,510,829 13,532,488 6,766,244 3,383,122 1,691,561 5,074,684 2,537,342 1,268,671 3,806,014 1,903,007 5,709,022 2,854,511 8,563,534 4,281,767 12,845,302 6,422,651 19,267,954 9,633,977 28,901,932

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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