λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,382,016
7,382,016
210 × 34 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^10 × 3^4 × 89
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 110
Divisor Sum (σ) 22,291,830
Proper Divisor Sum 14,909,814
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7382003 ← → #7382017

Radix Representation

Decimal 7382016
Binary 11100001010010000000000 (23 bits)
Octal 0o34122000
Hexadecimal 0x70A400

Divisor Catalog (60 of 110)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 128 144 162 178 192 216 256 267 288 324 356 384 432 512 534 576 648 712 768 801 864 1,024 1,068 1,152 1,296 1,424 1,536 1,602 1,728 2,136 2,304 2,403 2,592 2,848 3,072 3,204 3,456 4,272

Collatz Trajectory (80 steps to reach 1)

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

7,382,016 3,691,008 1,845,504 922,752 461,376 230,688 115,344 57,672 28,836 14,418 7,209 21,628 10,814 5,407 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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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