λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,487,624
3,487,624
23 × 73 × 31 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^3 × 31 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,064,000
Proper Divisor Sum 4,576,376
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3487607 ← → #3487637

Radix Representation

Decimal 3487624
Binary 1101010011011110001000 (22 bits)
Octal 0o15233610
Hexadecimal 0x353788

Divisor Catalog (60 of 64)

1 2 4 7 8 14 28 31 41 49 56 62 82 98 124 164 196 217 248 287 328 343 392 434 574 686 868 1,148 1,271 1,372 1,519 1,736 2,009 2,296 2,542 2,744 3,038 4,018 5,084 6,076 8,036 8,897 10,168 10,633 12,152 14,063 16,072 17,794 21,266 28,126 35,588 42,532 56,252 62,279 71,176 85,064 112,504 124,558 249,116 435,953

Collatz Trajectory (102 steps to reach 1)

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

3,487,624 1,743,812 871,906 435,953 1,307,860 653,930 326,965 980,896 490,448 245,224 122,612 61,306 30,653 91,960 45,980 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126

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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