λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,040,000
4,040,000
26 × 54 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^4 × 101
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 70
Divisor Sum (σ) 10,117,074
Proper Divisor Sum 6,077,074
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #4039991 ← → #4040009

Radix Representation

Decimal 4040000
Binary 1111011010010101000000 (22 bits)
Octal 0o17322500
Hexadecimal 0x3DA540

Divisor Catalog (60 of 70)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 625 800 808 1,000 1,010 1,250 1,600 1,616 2,000 2,020 2,500 2,525 3,232 4,000 4,040 5,000 5,050 6,464 8,000 8,080 10,000 10,100 12,625 16,160 20,000 20,200 25,250 32,320 40,000 40,400 50,500 63,125 80,800 101,000

Collatz Trajectory (110 steps to reach 1)

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

4,040,000 2,020,000 1,010,000 505,000 252,500 126,250 63,125 189,376 94,688 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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