λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,189,231
21,189,231
32 × 7 × 317 × 1061
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 317 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,122,464
Proper Divisor Sum 13,933,233
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21189229 ← → #21189281

Radix Representation

Decimal 21189231
Binary 1010000110101001001101111 (25 bits)
Octal 0o120651157
Hexadecimal 0x143526F

Divisor Catalog (24)

1 3 7 9 21 63 317 951 1,061 2,219 2,853 3,183 6,657 7,427 9,549 19,971 22,281 66,843 336,337 1,009,011 2,354,359 3,027,033 7,063,077 21,189,231

Collatz Trajectory (133 steps to reach 1)

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

21,189,231 63,567,694 31,783,847 95,351,542 47,675,771 143,027,314 71,513,657 214,540,972 107,270,486 53,635,243 160,905,730 80,452,865 241,358,596 120,679,298 60,339,649 181,018,948 90,509,474 45,254,737 135,764,212 67,882,106 33,941,053 101,823,160 50,911,580 25,455,790 12,727,895 38,183,686 19,091,843 57,275,530 28,637,765 85,913,296 42,956,648 21,478,324 10,739,162 5,369,581 16,108,744 8,054,372 4,027,186 2,013,593 6,040,780 3,020,390 1,510,195 4,530,586 2,265,293 6,795,880 3,397,940 1,698,970 849,485 2,548,456 1,274,228 637,114 318,557 955,672 477,836 238,918 119,459 358,378 179,189 537,568 268,784 134,392

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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