λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,074,795
7,074,795
3 × 5 × 7 × 13 × 71 × 73
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 71 × 73
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,321,664
Proper Divisor Sum 7,246,869
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7074779 ← → #7074797

Radix Representation

Decimal 7074795
Binary 11010111111001111101011 (23 bits)
Octal 0o32771753
Hexadecimal 0x6BF3EB

Divisor Catalog (60 of 64)

1 3 5 7 13 15 21 35 39 65 71 73 91 105 195 213 219 273 355 365 455 497 511 923 949 1,065 1,095 1,365 1,491 1,533 2,485 2,555 2,769 2,847 4,615 4,745 5,183 6,461 6,643 7,455 7,665 13,845 14,235 15,549 19,383 19,929 25,915 32,305 33,215 36,281 67,379 77,745 96,915 99,645 108,843 181,405 202,137 336,895 471,653 544,215

Collatz Trajectory (266 steps to reach 1)

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

7,074,795 21,224,386 10,612,193 31,836,580 15,918,290 7,959,145 23,877,436 11,938,718 5,969,359 17,908,078 8,954,039 26,862,118 13,431,059 40,293,178 20,146,589 60,439,768 30,219,884 15,109,942 7,554,971 22,664,914 11,332,457 33,997,372 16,998,686 8,499,343 25,498,030 12,749,015 38,247,046 19,123,523 57,370,570 28,685,285 86,055,856 43,027,928 21,513,964 10,756,982 5,378,491 16,135,474 8,067,737 24,203,212 12,101,606 6,050,803 18,152,410 9,076,205 27,228,616 13,614,308 6,807,154 3,403,577 10,210,732 5,105,366 2,552,683 7,658,050 3,829,025 11,487,076 5,743,538 2,871,769 8,615,308 4,307,654 2,153,827 6,461,482 3,230,741 9,692,224

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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