λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,072,854
10,072,854
2 × 32 × 11 × 50873
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 50873
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,809,032
Proper Divisor Sum 13,736,178
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10072837 ← → #10072871

Radix Representation

Decimal 10072854
Binary 100110011011001100010110 (24 bits)
Octal 0o46331426
Hexadecimal 0x99B316

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 50,873 101,746 152,619 305,238 457,857 559,603 915,714 1,119,206 1,678,809 3,357,618 5,036,427 10,072,854

Collatz Trajectory (189 steps to reach 1)

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

10,072,854 5,036,427 15,109,282 7,554,641 22,663,924 11,331,962 5,665,981 16,997,944 8,498,972 4,249,486 2,124,743 6,374,230 3,187,115 9,561,346 4,780,673 14,342,020 7,171,010 3,585,505 10,756,516 5,378,258 2,689,129 8,067,388 4,033,694 2,016,847 6,050,542 3,025,271 9,075,814 4,537,907 13,613,722 6,806,861 20,420,584 10,210,292 5,105,146 2,552,573 7,657,720 3,828,860 1,914,430 957,215 2,871,646 1,435,823 4,307,470 2,153,735 6,461,206 3,230,603 9,691,810 4,845,905 14,537,716 7,268,858 3,634,429 10,903,288 5,451,644 2,725,822 1,362,911 4,088,734 2,044,367 6,133,102 3,066,551 9,199,654 4,599,827 13,799,482

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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