λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,570,412
17,570,412
22 × 33 × 37 × 4397
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 37 × 4397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 46,794,720
Proper Divisor Sum 29,224,308
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17570411 ← → #17570417

Radix Representation

Decimal 17570412
Binary 1000011000001101001101100 (25 bits)
Octal 0o103015154
Hexadecimal 0x10C1A6C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1,332 1,998 3,996 4,397 8,794 13,191 17,588 26,382 39,573 52,764 79,146 118,719 158,292 162,689 237,438 325,378 474,876 488,067 650,756 976,134 1,464,201 1,952,268 2,928,402 4,392,603 5,856,804 8,785,206 17,570,412

Collatz Trajectory (174 steps to reach 1)

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

17,570,412 8,785,206 4,392,603 13,177,810 6,588,905 19,766,716 9,883,358 4,941,679 14,825,038 7,412,519 22,237,558 11,118,779 33,356,338 16,678,169 50,034,508 25,017,254 12,508,627 37,525,882 18,762,941 56,288,824 28,144,412 14,072,206 7,036,103 21,108,310 10,554,155 31,662,466 15,831,233 47,493,700 23,746,850 11,873,425 35,620,276 17,810,138 8,905,069 26,715,208 13,357,604 6,678,802 3,339,401 10,018,204 5,009,102 2,504,551 7,513,654 3,756,827 11,270,482 5,635,241 16,905,724 8,452,862 4,226,431 12,679,294 6,339,647 19,018,942 9,509,471 28,528,414 14,264,207 42,792,622 21,396,311 64,188,934 32,094,467 96,283,402 48,141,701 144,425,104

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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