λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,357,771
39,357,771
3 × 17 × 43 × 131 × 137
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 17 × 43 × 131 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,708,288
Proper Divisor Sum 18,350,517
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #39357739 ← → #39357809

Radix Representation

Decimal 39357771
Binary 10010110001000110101001011 (26 bits)
Octal 0o226106513
Hexadecimal 0x2588D4B

Divisor Catalog (32)

1 3 17 43 51 129 131 137 393 411 731 2,193 2,227 2,329 5,633 5,891 6,681 6,987 16,899 17,673 17,947 53,841 95,761 100,147 287,283 300,441 305,099 771,721 915,297 2,315,163 13,119,257 39,357,771

Collatz Trajectory (222 steps to reach 1)

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

39,357,771 118,073,314 59,036,657 177,109,972 88,554,986 44,277,493 132,832,480 66,416,240 33,208,120 16,604,060 8,302,030 4,151,015 12,453,046 6,226,523 18,679,570 9,339,785 28,019,356 14,009,678 7,004,839 21,014,518 10,507,259 31,521,778 15,760,889 47,282,668 23,641,334 11,820,667 35,462,002 17,731,001 53,193,004 26,596,502 13,298,251 39,894,754 19,947,377 59,842,132 29,921,066 14,960,533 44,881,600 22,440,800 11,220,400 5,610,200 2,805,100 1,402,550 701,275 2,103,826 1,051,913 3,155,740 1,577,870 788,935 2,366,806 1,183,403 3,550,210 1,775,105 5,325,316 2,662,658 1,331,329 3,993,988 1,996,994 998,497 2,995,492 1,497,746

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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