λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,190,865
7,190,865
32 × 5 × 11 × 73 × 199
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 73 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,852,800
Proper Divisor Sum 6,661,935
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7190857 ← → #7190891

Radix Representation

Decimal 7190865
Binary 11011011011100101010001 (23 bits)
Octal 0o33334521
Hexadecimal 0x6DB951

Divisor Catalog (48)

1 3 5 9 11 15 33 45 55 73 99 165 199 219 365 495 597 657 803 995 1,095 1,791 2,189 2,409 2,985 3,285 4,015 6,567 7,227 8,955 10,945 12,045 14,527 19,701 32,835 36,135 43,581 72,635 98,505 130,743 159,797 217,905 479,391 653,715 798,985 1,438,173 2,396,955 7,190,865

Collatz Trajectory (235 steps to reach 1)

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

7,190,865 21,572,596 10,786,298 5,393,149 16,179,448 8,089,724 4,044,862 2,022,431 6,067,294 3,033,647 9,100,942 4,550,471 13,651,414 6,825,707 20,477,122 10,238,561 30,715,684 15,357,842 7,678,921 23,036,764 11,518,382 5,759,191 17,277,574 8,638,787 25,916,362 12,958,181 38,874,544 19,437,272 9,718,636 4,859,318 2,429,659 7,288,978 3,644,489 10,933,468 5,466,734 2,733,367 8,200,102 4,100,051 12,300,154 6,150,077 18,450,232 9,225,116 4,612,558 2,306,279 6,918,838 3,459,419 10,378,258 5,189,129 15,567,388 7,783,694 3,891,847 11,675,542 5,837,771 17,513,314 8,756,657 26,269,972 13,134,986 6,567,493 19,702,480 9,851,240

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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