λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,388,738
21,388,738
2 × 7 × 37 × 157 × 263
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 37 × 157 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 38,041,344
Proper Divisor Sum 16,652,606
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #21388723 ← → #21388751

Radix Representation

Decimal 21388738
Binary 1010001100101110111000010 (25 bits)
Octal 0o121456702
Hexadecimal 0x1465DC2

Divisor Catalog (32)

1 2 7 14 37 74 157 259 263 314 518 526 1,099 1,841 2,198 3,682 5,809 9,731 11,618 19,462 40,663 41,291 68,117 81,326 82,582 136,234 289,037 578,074 1,527,767 3,055,534 10,694,369 21,388,738

Collatz Trajectory (283 steps to reach 1)

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

21,388,738 10,694,369 32,083,108 16,041,554 8,020,777 24,062,332 12,031,166 6,015,583 18,046,750 9,023,375 27,070,126 13,535,063 40,605,190 20,302,595 60,907,786 30,453,893 91,361,680 45,680,840 22,840,420 11,420,210 5,710,105 17,130,316 8,565,158 4,282,579 12,847,738 6,423,869 19,271,608 9,635,804 4,817,902 2,408,951 7,226,854 3,613,427 10,840,282 5,420,141 16,260,424 8,130,212 4,065,106 2,032,553 6,097,660 3,048,830 1,524,415 4,573,246 2,286,623 6,859,870 3,429,935 10,289,806 5,144,903 15,434,710 7,717,355 23,152,066 11,576,033 34,728,100 17,364,050 8,682,025 26,046,076 13,023,038 6,511,519 19,534,558 9,767,279 29,301,838

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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