λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,033,742
8,033,742
2 × 34 × 101 × 491
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 101 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,216,792
Proper Divisor Sum 10,183,050
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8033719 ← → #8033749

Radix Representation

Decimal 8033742
Binary 11110101001010111001110 (23 bits)
Octal 0o36512716
Hexadecimal 0x7A95CE

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 101 162 202 303 491 606 909 982 1,473 1,818 2,727 2,946 4,419 5,454 8,181 8,838 13,257 16,362 26,514 39,771 49,591 79,542 99,182 148,773 297,546 446,319 892,638 1,338,957 2,677,914 4,016,871 8,033,742

Collatz Trajectory (230 steps to reach 1)

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

8,033,742 4,016,871 12,050,614 6,025,307 18,075,922 9,037,961 27,113,884 13,556,942 6,778,471 20,335,414 10,167,707 30,503,122 15,251,561 45,754,684 22,877,342 11,438,671 34,316,014 17,158,007 51,474,022 25,737,011 77,211,034 38,605,517 115,816,552 57,908,276 28,954,138 14,477,069 43,431,208 21,715,604 10,857,802 5,428,901 16,286,704 8,143,352 4,071,676 2,035,838 1,017,919 3,053,758 1,526,879 4,580,638 2,290,319 6,870,958 3,435,479 10,306,438 5,153,219 15,459,658 7,729,829 23,189,488 11,594,744 5,797,372 2,898,686 1,449,343 4,348,030 2,174,015 6,522,046 3,261,023 9,783,070 4,891,535 14,674,606 7,337,303 22,011,910 11,005,955

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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