λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,204,015
7,204,015
5 × 7 × 13 × 71 × 223
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 13 × 71 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,838,016
Proper Divisor Sum 3,634,001
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7204013 ← → #7204031

Radix Representation

Decimal 7204015
Binary 11011011110110010101111 (23 bits)
Octal 0o33366257
Hexadecimal 0x6DECAF

Divisor Catalog (32)

1 5 7 13 35 65 71 91 223 355 455 497 923 1,115 1,561 2,485 2,899 4,615 6,461 7,805 14,495 15,833 20,293 32,305 79,165 101,465 110,831 205,829 554,155 1,029,145 1,440,803 7,204,015

Collatz Trajectory (279 steps to reach 1)

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

7,204,015 21,612,046 10,806,023 32,418,070 16,209,035 48,627,106 24,313,553 72,940,660 36,470,330 18,235,165 54,705,496 27,352,748 13,676,374 6,838,187 20,514,562 10,257,281 30,771,844 15,385,922 7,692,961 23,078,884 11,539,442 5,769,721 17,309,164 8,654,582 4,327,291 12,981,874 6,490,937 19,472,812 9,736,406 4,868,203 14,604,610 7,302,305 21,906,916 10,953,458 5,476,729 16,430,188 8,215,094 4,107,547 12,322,642 6,161,321 18,483,964 9,241,982 4,620,991 13,862,974 6,931,487 20,794,462 10,397,231 31,191,694 15,595,847 46,787,542 23,393,771 70,181,314 35,090,657 105,271,972 52,635,986 26,317,993 78,953,980 39,476,990 19,738,495 59,215,486

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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