λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,072,850
10,072,850
2 × 52 × 19 × 23 × 461
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 19 × 23 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,623,680
Proper Divisor Sum 10,550,830
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10072837 ← → #10072871

Radix Representation

Decimal 10072850
Binary 100110011011001100010010 (24 bits)
Octal 0o46331422
Hexadecimal 0x99B312

Divisor Catalog (48)

1 2 5 10 19 23 25 38 46 50 95 115 190 230 437 461 475 575 874 922 950 1,150 2,185 2,305 4,370 4,610 8,759 10,603 10,925 11,525 17,518 21,206 21,850 23,050 43,795 53,015 87,590 106,030 201,457 218,975 265,075 402,914 437,950 530,150 1,007,285 2,014,570 5,036,425 10,072,850

Collatz Trajectory (251 steps to reach 1)

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

10,072,850 5,036,425 15,109,276 7,554,638 3,777,319 11,331,958 5,665,979 16,997,938 8,498,969 25,496,908 12,748,454 6,374,227 19,122,682 9,561,341 28,684,024 14,342,012 7,171,006 3,585,503 10,756,510 5,378,255 16,134,766 8,067,383 24,202,150 12,101,075 36,303,226 18,151,613 54,454,840 27,227,420 13,613,710 6,806,855 20,420,566 10,210,283 30,630,850 15,315,425 45,946,276 22,973,138 11,486,569 34,459,708 17,229,854 8,614,927 25,844,782 12,922,391 38,767,174 19,383,587 58,150,762 29,075,381 87,226,144 43,613,072 21,806,536 10,903,268 5,451,634 2,725,817 8,177,452 4,088,726 2,044,363 6,133,090 3,066,545 9,199,636 4,599,818 2,299,909

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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