λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,391,821
21,391,821
32 × 11 × 29 × 7451
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11 × 29 × 7451
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 34,875,360
Proper Divisor Sum 13,483,539
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21391819 ← → #21391837

Radix Representation

Decimal 21391821
Binary 1010001100110100111001101 (25 bits)
Octal 0o121464715
Hexadecimal 0x14669CD

Divisor Catalog (24)

1 3 9 11 29 33 87 99 261 319 957 2,871 7,451 22,353 67,059 81,961 216,079 245,883 648,237 737,649 1,944,711 2,376,869 7,130,607 21,391,821

Collatz Trajectory (146 steps to reach 1)

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

21,391,821 64,175,464 32,087,732 16,043,866 8,021,933 24,065,800 12,032,900 6,016,450 3,008,225 9,024,676 4,512,338 2,256,169 6,768,508 3,384,254 1,692,127 5,076,382 2,538,191 7,614,574 3,807,287 11,421,862 5,710,931 17,132,794 8,566,397 25,699,192 12,849,596 6,424,798 3,212,399 9,637,198 4,818,599 14,455,798 7,227,899 21,683,698 10,841,849 32,525,548 16,262,774 8,131,387 24,394,162 12,197,081 36,591,244 18,295,622 9,147,811 27,443,434 13,721,717 41,165,152 20,582,576 10,291,288 5,145,644 2,572,822 1,286,411 3,859,234 1,929,617 5,788,852 2,894,426 1,447,213 4,341,640 2,170,820 1,085,410 542,705 1,628,116 814,058

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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