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Ratio Atlas
Atlas › Integer Profiles › Node 17,523,525
17,523,525
3 × 52 × 31 × 7537
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 31 × 7537
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 29,910,784
Proper Divisor Sum 12,387,259
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17523521 ← → #17523551

Radix Representation

Decimal 17523525
Binary 1000010110110001101000101 (25 bits)
Octal 0o102661505
Hexadecimal 0x10B6345

Divisor Catalog (24)

1 3 5 15 25 31 75 93 155 465 775 2,325 7,537 22,611 37,685 113,055 188,425 233,647 565,275 700,941 1,168,235 3,504,705 5,841,175 17,523,525

Collatz Trajectory (174 steps to reach 1)

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

17,523,525 52,570,576 26,285,288 13,142,644 6,571,322 3,285,661 9,856,984 4,928,492 2,464,246 1,232,123 3,696,370 1,848,185 5,544,556 2,772,278 1,386,139 4,158,418 2,079,209 6,237,628 3,118,814 1,559,407 4,678,222 2,339,111 7,017,334 3,508,667 10,526,002 5,263,001 15,789,004 7,894,502 3,947,251 11,841,754 5,920,877 17,762,632 8,881,316 4,440,658 2,220,329 6,660,988 3,330,494 1,665,247 4,995,742 2,497,871 7,493,614 3,746,807 11,240,422 5,620,211 16,860,634 8,430,317 25,290,952 12,645,476 6,322,738 3,161,369 9,484,108 4,742,054 2,371,027 7,113,082 3,556,541 10,669,624 5,334,812 2,667,406 1,333,703 4,001,110

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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