λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,831,790
15,831,790
2 × 5 × 13 × 193 × 631
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 193 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,897,216
Proper Divisor Sum 15,065,426
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #15831763 ← → #15831791

Radix Representation

Decimal 15831790
Binary 111100011001001011101110 (24 bits)
Octal 0o74311356
Hexadecimal 0xF192EE

Divisor Catalog (32)

1 2 5 10 13 26 65 130 193 386 631 965 1,262 1,930 2,509 3,155 5,018 6,310 8,203 12,545 16,406 25,090 41,015 82,030 121,783 243,566 608,915 1,217,830 1,583,179 3,166,358 7,915,895 15,831,790

Collatz Trajectory (311 steps to reach 1)

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

15,831,790 7,915,895 23,747,686 11,873,843 35,621,530 17,810,765 53,432,296 26,716,148 13,358,074 6,679,037 20,037,112 10,018,556 5,009,278 2,504,639 7,513,918 3,756,959 11,270,878 5,635,439 16,906,318 8,453,159 25,359,478 12,679,739 38,039,218 19,019,609 57,058,828 28,529,414 14,264,707 42,794,122 21,397,061 64,191,184 32,095,592 16,047,796 8,023,898 4,011,949 12,035,848 6,017,924 3,008,962 1,504,481 4,513,444 2,256,722 1,128,361 3,385,084 1,692,542 846,271 2,538,814 1,269,407 3,808,222 1,904,111 5,712,334 2,856,167 8,568,502 4,284,251 12,852,754 6,426,377 19,279,132 9,639,566 4,819,783 14,459,350 7,229,675 21,689,026

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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