λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,973,625
46,973,625
3 × 53 × 229 × 547
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 229 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 78,648,960
Proper Divisor Sum 31,675,335
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #46973623 ← → #46973629

Radix Representation

Decimal 46973625
Binary 10110011001100001010111001 (26 bits)
Octal 0o263141271
Hexadecimal 0x2CCC2B9

Divisor Catalog (32)

1 3 5 15 25 75 125 229 375 547 687 1,145 1,641 2,735 3,435 5,725 8,205 13,675 17,175 28,625 41,025 68,375 85,875 125,263 205,125 375,789 626,315 1,878,945 3,131,575 9,394,725 15,657,875 46,973,625

Collatz Trajectory (155 steps to reach 1)

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

46,973,625 140,920,876 70,460,438 35,230,219 105,690,658 52,845,329 158,535,988 79,267,994 39,633,997 118,901,992 59,450,996 29,725,498 14,862,749 44,588,248 22,294,124 11,147,062 5,573,531 16,720,594 8,360,297 25,080,892 12,540,446 6,270,223 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 #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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