λ
Ratio Atlas
Atlas › Integer Profiles › Node 62,333,145
62,333,145
36 × 5 × 72 × 349
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^6 × 5 × 7^2 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 130,832,100
Proper Divisor Sum 68,498,955
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #62333143 ← → #62333177

Radix Representation

Decimal 62333145
Binary 11101101110010000011011001 (26 bits)
Octal 0o355620331
Hexadecimal 0x3B720D9

Divisor Catalog (60 of 84)

1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 349 405 441 567 729 735 945 1,047 1,215 1,323 1,701 1,745 2,205 2,443 2,835 3,141 3,645 3,969 5,103 5,235 6,615 7,329 8,505 9,423 11,907 12,215 15,705 17,101 19,845 21,987 25,515 28,269 35,721 36,645 47,115 51,303 59,535 65,961 84,807 85,505

Collatz Trajectory (163 steps to reach 1)

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

62,333,145 186,999,436 93,499,718 46,749,859 140,249,578 70,124,789 210,374,368 105,187,184 52,593,592 26,296,796 13,148,398 6,574,199 19,722,598 9,861,299 29,583,898 14,791,949 44,375,848 22,187,924 11,093,962 5,546,981 16,640,944 8,320,472 4,160,236 2,080,118 1,040,059 3,120,178 1,560,089 4,680,268 2,340,134 1,170,067 3,510,202 1,755,101 5,265,304 2,632,652 1,316,326 658,163 1,974,490 987,245 2,961,736 1,480,868 740,434 370,217 1,110,652 555,326 277,663 832,990 416,495 1,249,486 624,743 1,874,230 937,115 2,811,346 1,405,673 4,217,020 2,108,510 1,054,255 3,162,766 1,581,383 4,744,150 2,372,075

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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