λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,201,742
5,201,742
2 × 3 × 72 × 13 × 1361
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 13 × 1361
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,042,512
Proper Divisor Sum 7,840,770
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5201741 ← → #5201767

Radix Representation

Decimal 5201742
Binary 10011110101111101001110 (23 bits)
Octal 0o23657516
Hexadecimal 0x4F5F4E

Divisor Catalog (48)

1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1,274 1,361 1,911 2,722 3,822 4,083 8,166 9,527 17,693 19,054 28,581 35,386 53,079 57,162 66,689 106,158 123,851 133,378 200,067 247,702 371,553 400,134 743,106 866,957 1,733,914 2,600,871 5,201,742

Collatz Trajectory (206 steps to reach 1)

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

5,201,742 2,600,871 7,802,614 3,901,307 11,703,922 5,851,961 17,555,884 8,777,942 4,388,971 13,166,914 6,583,457 19,750,372 9,875,186 4,937,593 14,812,780 7,406,390 3,703,195 11,109,586 5,554,793 16,664,380 8,332,190 4,166,095 12,498,286 6,249,143 18,747,430 9,373,715 28,121,146 14,060,573 42,181,720 21,090,860 10,545,430 5,272,715 15,818,146 7,909,073 23,727,220 11,863,610 5,931,805 17,795,416 8,897,708 4,448,854 2,224,427 6,673,282 3,336,641 10,009,924 5,004,962 2,502,481 7,507,444 3,753,722 1,876,861 5,630,584 2,815,292 1,407,646 703,823 2,111,470 1,055,735 3,167,206 1,583,603 4,750,810 2,375,405 7,126,216

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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