λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,037,540
32,037,540
22 × 3 × 5 × 533959
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 533959
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 89,705,280
Proper Divisor Sum 57,667,740
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #32037529 ← → #32037541

Radix Representation

Decimal 32037540
Binary 1111010001101101010100100 (25 bits)
Octal 0o172155244
Hexadecimal 0x1E8DAA4

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 533,959 1,067,918 1,601,877 2,135,836 2,669,795 3,203,754 5,339,590 6,407,508 8,009,385 10,679,180 16,018,770 32,037,540

Collatz Trajectory (263 steps to reach 1)

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

32,037,540 16,018,770 8,009,385 24,028,156 12,014,078 6,007,039 18,021,118 9,010,559 27,031,678 13,515,839 40,547,518 20,273,759 60,821,278 30,410,639 91,231,918 45,615,959 136,847,878 68,423,939 205,271,818 102,635,909 307,907,728 153,953,864 76,976,932 38,488,466 19,244,233 57,732,700 28,866,350 14,433,175 43,299,526 21,649,763 64,949,290 32,474,645 97,423,936 48,711,968 24,355,984 12,177,992 6,088,996 3,044,498 1,522,249 4,566,748 2,283,374 1,141,687 3,425,062 1,712,531 5,137,594 2,568,797 7,706,392 3,853,196 1,926,598 963,299 2,889,898 1,444,949 4,334,848 2,167,424 1,083,712 541,856 270,928 135,464 67,732 33,866

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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