λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,973,628
46,973,628
22 × 33 × 13 × 33457
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 33457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 131,155,360
Proper Divisor Sum 84,181,732
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #46973623 ← → #46973629

Radix Representation

Decimal 46973628
Binary 10110011001100001010111100 (26 bits)
Octal 0o263141274
Hexadecimal 0x2CCC2BC

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 33,457 66,914 100,371 133,828 200,742 301,113 401,484 434,941 602,226 869,882 903,339 1,204,452 1,304,823 1,739,764 1,806,678 2,609,646 3,613,356 3,914,469 5,219,292 7,828,938 11,743,407 15,657,876 23,486,814 46,973,628

Collatz Trajectory (155 steps to reach 1)

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

46,973,628 23,486,814 11,743,407 35,230,222 17,615,111 52,845,334 26,422,667 79,268,002 39,634,001 118,902,004 59,451,002 29,725,501 89,176,504 44,588,252 22,294,126 11,147,063 33,441,190 16,720,595 50,161,786 25,080,893 75,242,680 37,621,340 18,810,670 9,405,335 28,216,006 14,108,003 42,324,010 21,162,005 63,486,016 31,743,008 15,871,504 7,935,752 3,967,876 1,983,938 991,969 2,975,908 1,487,954 743,977 2,231,932 1,115,966 557,983 1,673,950 836,975 2,510,926 1,255,463 3,766,390 1,883,195 5,649,586 2,824,793 8,474,380 4,237,190 2,118,595 6,355,786 3,177,893 9,533,680 4,766,840 2,383,420 1,191,710 595,855 1,787,566

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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