λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,520,828
17,520,828
22 × 3 × 13 × 31 × 3623
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 31 × 3623
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 45,459,456
Proper Divisor Sum 27,938,628
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17520827 ← → #17520889

Radix Representation

Decimal 17520828
Binary 1000010110101100010111100 (25 bits)
Octal 0o102654274
Hexadecimal 0x10B58BC

Divisor Catalog (48)

1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1,209 1,612 2,418 3,623 4,836 7,246 10,869 14,492 21,738 43,476 47,099 94,198 112,313 141,297 188,396 224,626 282,594 336,939 449,252 565,188 673,878 1,347,756 1,460,069 2,920,138 4,380,207 5,840,276 8,760,414 17,520,828

Collatz Trajectory (319 steps to reach 1)

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

17,520,828 8,760,414 4,380,207 13,140,622 6,570,311 19,710,934 9,855,467 29,566,402 14,783,201 44,349,604 22,174,802 11,087,401 33,262,204 16,631,102 8,315,551 24,946,654 12,473,327 37,419,982 18,709,991 56,129,974 28,064,987 84,194,962 42,097,481 126,292,444 63,146,222 31,573,111 94,719,334 47,359,667 142,079,002 71,039,501 213,118,504 106,559,252 53,279,626 26,639,813 79,919,440 39,959,720 19,979,860 9,989,930 4,994,965 14,984,896 7,492,448 3,746,224 1,873,112 936,556 468,278 234,139 702,418 351,209 1,053,628 526,814 263,407 790,222 395,111 1,185,334 592,667 1,778,002 889,001 2,667,004 1,333,502 666,751

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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