λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,304,849
8,304,849
34 × 7 × 97 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7 × 97 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,419,328
Proper Divisor Sum 6,114,479
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8304841 ← → #8304883

Radix Representation

Decimal 8304849
Binary 11111101011100011010001 (23 bits)
Octal 0o37534321
Hexadecimal 0x7EB8D1

Divisor Catalog (40)

1 3 7 9 21 27 63 81 97 151 189 291 453 567 679 873 1,057 1,359 2,037 2,619 3,171 4,077 6,111 7,857 9,513 12,231 14,647 18,333 28,539 43,941 54,999 85,617 102,529 131,823 307,587 395,469 922,761 1,186,407 2,768,283 8,304,849

Collatz Trajectory (274 steps to reach 1)

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

8,304,849 24,914,548 12,457,274 6,228,637 18,685,912 9,342,956 4,671,478 2,335,739 7,007,218 3,503,609 10,510,828 5,255,414 2,627,707 7,883,122 3,941,561 11,824,684 5,912,342 2,956,171 8,868,514 4,434,257 13,302,772 6,651,386 3,325,693 9,977,080 4,988,540 2,494,270 1,247,135 3,741,406 1,870,703 5,612,110 2,806,055 8,418,166 4,209,083 12,627,250 6,313,625 18,940,876 9,470,438 4,735,219 14,205,658 7,102,829 21,308,488 10,654,244 5,327,122 2,663,561 7,990,684 3,995,342 1,997,671 5,993,014 2,996,507 8,989,522 4,494,761 13,484,284 6,742,142 3,371,071 10,113,214 5,056,607 15,169,822 7,584,911 22,754,734 11,377,367

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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