λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,323,300
40,323,300
22 × 3 × 52 × 257 × 523
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 257 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 117,346,656
Proper Divisor Sum 77,023,356
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #40323299 ← → #40323307

Radix Representation

Decimal 40323300
Binary 10011001110100100011100100 (26 bits)
Octal 0o231644344
Hexadecimal 0x26748E4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 523 771 1,028 1,046 1,285 1,542 1,569 2,092 2,570 2,615 3,084 3,138 3,855 5,140 5,230 6,276 6,425 7,710 7,845 10,460 12,850 13,075 15,420 15,690 19,275 25,700 26,150 31,380 38,550 39,225 52,300 77,100 78,450 134,411 156,900 268,822 403,233 537,644 672,055 806,466

Collatz Trajectory (253 steps to reach 1)

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

40,323,300 20,161,650 10,080,825 30,242,476 15,121,238 7,560,619 22,681,858 11,340,929 34,022,788 17,011,394 8,505,697 25,517,092 12,758,546 6,379,273 19,137,820 9,568,910 4,784,455 14,353,366 7,176,683 21,530,050 10,765,025 32,295,076 16,147,538 8,073,769 24,221,308 12,110,654 6,055,327 18,165,982 9,082,991 27,248,974 13,624,487 40,873,462 20,436,731 61,310,194 30,655,097 91,965,292 45,982,646 22,991,323 68,973,970 34,486,985 103,460,956 51,730,478 25,865,239 77,595,718 38,797,859 116,393,578 58,196,789 174,590,368 87,295,184 43,647,592 21,823,796 10,911,898 5,455,949 16,367,848 8,183,924 4,091,962 2,045,981 6,137,944 3,068,972 1,534,486

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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