λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,642,016
3,642,016
25 × 7 × 71 × 229
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 71 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,346,240
Proper Divisor Sum 4,704,224
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3641999 ← → #3642019

Radix Representation

Decimal 3642016
Binary 1101111001001010100000 (22 bits)
Octal 0o15711240
Hexadecimal 0x3792A0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 71 112 142 224 229 284 458 497 568 916 994 1,136 1,603 1,832 1,988 2,272 3,206 3,664 3,976 6,412 7,328 7,952 12,824 15,904 16,259 25,648 32,518 51,296 65,036 113,813 130,072 227,626 260,144 455,252 520,288 910,504 1,821,008 3,642,016

Collatz Trajectory (58 steps to reach 1)

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

3,642,016 1,821,008 910,504 455,252 227,626 113,813 341,440 170,720 85,360 42,680 21,340 10,670 5,335 16,006 8,003 24,010 12,005 36,016 18,008 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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