λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,675,720
7,675,720
23 × 5 × 13 × 29 × 509
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 29 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,278,000
Proper Divisor Sum 11,602,280
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7675673 ← → #7675727

Radix Representation

Decimal 7675720
Binary 11101010001111101001000 (23 bits)
Octal 0o35217510
Hexadecimal 0x751F48

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 509 520 580 754 1,018 1,160 1,508 1,885 2,036 2,545 3,016 3,770 4,072 5,090 6,617 7,540 10,180 13,234 14,761 15,080 20,360 26,468 29,522 33,085 52,936 59,044 66,170 73,805 118,088 132,340 147,610 191,893 264,680 295,220 383,786 590,440 767,572 959,465

Collatz Trajectory (217 steps to reach 1)

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

7,675,720 3,837,860 1,918,930 959,465 2,878,396 1,439,198 719,599 2,158,798 1,079,399 3,238,198 1,619,099 4,857,298 2,428,649 7,285,948 3,642,974 1,821,487 5,464,462 2,732,231 8,196,694 4,098,347 12,295,042 6,147,521 18,442,564 9,221,282 4,610,641 13,831,924 6,915,962 3,457,981 10,373,944 5,186,972 2,593,486 1,296,743 3,890,230 1,945,115 5,835,346 2,917,673 8,753,020 4,376,510 2,188,255 6,564,766 3,282,383 9,847,150 4,923,575 14,770,726 7,385,363 22,156,090 11,078,045 33,234,136 16,617,068 8,308,534 4,154,267 12,462,802 6,231,401 18,694,204 9,347,102 4,673,551 14,020,654 7,010,327 21,030,982 10,515,491

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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