λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,462,016
47,462,016
27 × 3 × 7 × 17657
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 17657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 144,089,280
Proper Divisor Sum 96,627,264
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #47461993 ← → #47462017

Radix Representation

Decimal 47462016
Binary 10110101000011011010000000 (26 bits)
Octal 0o265033200
Hexadecimal 0x2D43680

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1,344 2,688 17,657 35,314 52,971 70,628 105,942 123,599 141,256 211,884 247,198 282,512 370,797 423,768 494,396 565,024 741,594 847,536 988,792 1,130,048 1,483,188 1,695,072 1,977,584 2,260,096 2,966,376 3,390,144 3,955,168 5,932,752 6,780,288 7,910,336

Collatz Trajectory (93 steps to reach 1)

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

47,462,016 23,731,008 11,865,504 5,932,752 2,966,376 1,483,188 741,594 370,797 1,112,392 556,196 278,098 139,049 417,148 208,574 104,287 312,862 156,431 469,294 234,647 703,942 351,971 1,055,914 527,957 1,583,872 791,936 395,968 197,984 98,992 49,496 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397

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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