λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,992,004
3,992,004
22 × 36 × 372
Abundant Even Composite Square (√ = 1998)

Prime Factor Structure

Factorization String 2^2 × 3^6 × 37^2
Distinct Prime Factors 3
Square Status Yes (√3992004 = 1998)
Abundance Measure Abundant

Analytical Properties

Total Divisors 63
Divisor Sum (σ) 10,764,957
Proper Divisor Sum 6,772,953
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3991997 ← → #3992011

Radix Representation

Decimal 3992004
Binary 1111001110100111000100 (22 bits)
Octal 0o17164704
Hexadecimal 0x3CE9C4

Divisor Catalog (60 of 63)

1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1,332 1,369 1,458 1,998 2,738 2,916 2,997 3,996 4,107 5,476 5,994 8,214 8,991 11,988 12,321 16,428 17,982 24,642 26,973 35,964 36,963 49,284 53,946 73,926 107,892 110,889 147,852 221,778 332,667 443,556 665,334 998,001

Collatz Trajectory (92 steps to reach 1)

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

3,992,004 1,996,002 998,001 2,994,004 1,497,002 748,501 2,245,504 1,122,752 561,376 280,688 140,344 70,172 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118

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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