λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,973,630
46,973,630
2 × 5 × 11 × 43 × 9931
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11 × 43 × 9931
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,393,728
Proper Divisor Sum 47,420,098
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #46973629 ← → #46973677

Radix Representation

Decimal 46973630
Binary 10110011001100001010111110 (26 bits)
Octal 0o263141276
Hexadecimal 0x2CCC2BE

Divisor Catalog (32)

1 2 5 10 11 22 43 55 86 110 215 430 473 946 2,365 4,730 9,931 19,862 49,655 99,310 109,241 218,482 427,033 546,205 854,066 1,092,410 2,135,165 4,270,330 4,697,363 9,394,726 23,486,815 46,973,630

Collatz Trajectory (155 steps to reach 1)

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

46,973,630 23,486,815 70,460,446 35,230,223 105,690,670 52,845,335 158,536,006 79,268,003 237,804,010 118,902,005 356,706,016 178,353,008 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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