λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,535,140
17,535,140
22 × 5 × 72 × 29 × 617
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 29 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 44,384,760
Proper Divisor Sum 26,849,620
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #17535139 ← → #17535149

Radix Representation

Decimal 17535140
Binary 1000010111001000010100100 (25 bits)
Octal 0o102710244
Hexadecimal 0x10B90A4

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 617 812 980 1,015 1,234 1,421 2,030 2,468 2,842 3,085 4,060 4,319 5,684 6,170 7,105 8,638 12,340 14,210 17,276 17,893 21,595 28,420 30,233 35,786 43,190 60,466 71,572 86,380 89,465 120,932 125,251 151,165 178,930 250,502 302,330

Collatz Trajectory (200 steps to reach 1)

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

17,535,140 8,767,570 4,383,785 13,151,356 6,575,678 3,287,839 9,863,518 4,931,759 14,795,278 7,397,639 22,192,918 11,096,459 33,289,378 16,644,689 49,934,068 24,967,034 12,483,517 37,450,552 18,725,276 9,362,638 4,681,319 14,043,958 7,021,979 21,065,938 10,532,969 31,598,908 15,799,454 7,899,727 23,699,182 11,849,591 35,548,774 17,774,387 53,323,162 26,661,581 79,984,744 39,992,372 19,996,186 9,998,093 29,994,280 14,997,140 7,498,570 3,749,285 11,247,856 5,623,928 2,811,964 1,405,982 702,991 2,108,974 1,054,487 3,163,462 1,581,731 4,745,194 2,372,597 7,117,792 3,558,896 1,779,448 889,724 444,862 222,431 667,294

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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