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Ratio Atlas
Atlas › Integer Profiles › Node 10,072,342
10,072,342
2 × 72 × 79 × 1301
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 79 × 1301
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,811,360
Proper Divisor Sum 7,739,018
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #10072339 ← → #10072343

Radix Representation

Decimal 10072342
Binary 100110011011000100010110 (24 bits)
Octal 0o46330426
Hexadecimal 0x99B116

Divisor Catalog (24)

1 2 7 14 49 79 98 158 553 1,106 1,301 2,602 3,871 7,742 9,107 18,214 63,749 102,779 127,498 205,558 719,453 1,438,906 5,036,171 10,072,342

Collatz Trajectory (207 steps to reach 1)

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

10,072,342 5,036,171 15,108,514 7,554,257 22,662,772 11,331,386 5,665,693 16,997,080 8,498,540 4,249,270 2,124,635 6,373,906 3,186,953 9,560,860 4,780,430 2,390,215 7,170,646 3,585,323 10,755,970 5,377,985 16,133,956 8,066,978 4,033,489 12,100,468 6,050,234 3,025,117 9,075,352 4,537,676 2,268,838 1,134,419 3,403,258 1,701,629 5,104,888 2,552,444 1,276,222 638,111 1,914,334 957,167 2,871,502 1,435,751 4,307,254 2,153,627 6,460,882 3,230,441 9,691,324 4,845,662 2,422,831 7,268,494 3,634,247 10,902,742 5,451,371 16,354,114 8,177,057 24,531,172 12,265,586 6,132,793 18,398,380 9,199,190 4,599,595 13,798,786

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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