λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,309,624
7,309,624
23 × 72 × 29 × 643
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^2 × 29 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,518,600
Proper Divisor Sum 9,208,976
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7309619 ← → #7309637

Radix Representation

Decimal 7309624
Binary 11011111000100100111000 (23 bits)
Octal 0o33704470
Hexadecimal 0x6F8938

Divisor Catalog (48)

1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 643 812 1,286 1,421 1,624 2,572 2,842 4,501 5,144 5,684 9,002 11,368 18,004 18,647 31,507 36,008 37,294 63,014 74,588 126,028 130,529 149,176 252,056 261,058 522,116 913,703 1,044,232 1,827,406 3,654,812 7,309,624

Collatz Trajectory (142 steps to reach 1)

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

7,309,624 3,654,812 1,827,406 913,703 2,741,110 1,370,555 4,111,666 2,055,833 6,167,500 3,083,750 1,541,875 4,625,626 2,312,813 6,938,440 3,469,220 1,734,610 867,305 2,601,916 1,300,958 650,479 1,951,438 975,719 2,927,158 1,463,579 4,390,738 2,195,369 6,586,108 3,293,054 1,646,527 4,939,582 2,469,791 7,409,374 3,704,687 11,114,062 5,557,031 16,671,094 8,335,547 25,006,642 12,503,321 37,509,964 18,754,982 9,377,491 28,132,474 14,066,237 42,198,712 21,099,356 10,549,678 5,274,839 15,824,518 7,912,259 23,736,778 11,868,389 35,605,168 17,802,584 8,901,292 4,450,646 2,225,323 6,675,970 3,337,985 10,013,956

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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