λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,397,750
2,397,750
2 × 3 × 53 × 23 × 139
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 23 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,289,920
Proper Divisor Sum 3,892,170
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2397719 ← → #2397793

Radix Representation

Decimal 2397750
Binary 1001001001011000110110 (22 bits)
Octal 0o11113066
Hexadecimal 0x249636

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 125 138 139 150 230 250 278 345 375 417 575 690 695 750 834 1,150 1,390 1,725 2,085 2,875 3,197 3,450 3,475 4,170 5,750 6,394 6,950 8,625 9,591 10,425 15,985 17,250 17,375 19,182 20,850 31,970 34,750 47,955 52,125 79,925 95,910 104,250 159,850 239,775 399,625

Collatz Trajectory (117 steps to reach 1)

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

2,397,750 1,198,875 3,596,626 1,798,313 5,394,940 2,697,470 1,348,735 4,046,206 2,023,103 6,069,310 3,034,655 9,103,966 4,551,983 13,655,950 6,827,975 20,483,926 10,241,963 30,725,890 15,362,945 46,088,836 23,044,418 11,522,209 34,566,628 17,283,314 8,641,657 25,924,972 12,962,486 6,481,243 19,443,730 9,721,865 29,165,596 14,582,798 7,291,399 21,874,198 10,937,099 32,811,298 16,405,649 49,216,948 24,608,474 12,304,237 36,912,712 18,456,356 9,228,178 4,614,089 13,842,268 6,921,134 3,460,567 10,381,702 5,190,851 15,572,554 7,786,277 23,358,832 11,679,416 5,839,708 2,919,854 1,459,927 4,379,782 2,189,891 6,569,674 3,284,837

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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