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Ratio Atlas
Atlas › Integer Profiles › Node 21,396,627
21,396,627
32 × 7 × 223 × 1523
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 223 × 1523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,503,104
Proper Divisor Sum 14,106,477
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #21396611 ← → #21396637

Radix Representation

Decimal 21396627
Binary 1010001100111110010010011 (25 bits)
Octal 0o121476223
Hexadecimal 0x1467C93

Divisor Catalog (24)

1 3 7 9 21 63 223 669 1,523 1,561 2,007 4,569 4,683 10,661 13,707 14,049 31,983 95,949 339,629 1,018,887 2,377,403 3,056,661 7,132,209 21,396,627

Collatz Trajectory (172 steps to reach 1)

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

21,396,627 64,189,882 32,094,941 96,284,824 48,142,412 24,071,206 12,035,603 36,106,810 18,053,405 54,160,216 27,080,108 13,540,054 6,770,027 20,310,082 10,155,041 30,465,124 15,232,562 7,616,281 22,848,844 11,424,422 5,712,211 17,136,634 8,568,317 25,704,952 12,852,476 6,426,238 3,213,119 9,639,358 4,819,679 14,459,038 7,229,519 21,688,558 10,844,279 32,532,838 16,266,419 48,799,258 24,399,629 73,198,888 36,599,444 18,299,722 9,149,861 27,449,584 13,724,792 6,862,396 3,431,198 1,715,599 5,146,798 2,573,399 7,720,198 3,860,099 11,580,298 5,790,149 17,370,448 8,685,224 4,342,612 2,171,306 1,085,653 3,256,960 1,628,480 814,240

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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