λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,097,075
8,097,075
32 × 52 × 7 × 53 × 97
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 53 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 17,061,408
Proper Divisor Sum 8,964,333
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8097071 ← → #8097077

Radix Representation

Decimal 8097075
Binary 11110111000110100110011 (23 bits)
Octal 0o36706463
Hexadecimal 0x7B8D33

Divisor Catalog (60 of 72)

1 3 5 7 9 15 21 25 35 45 53 63 75 97 105 159 175 225 265 291 315 371 477 485 525 679 795 873 1,113 1,325 1,455 1,575 1,855 2,037 2,385 2,425 3,339 3,395 3,975 4,365 5,141 5,565 6,111 7,275 9,275 10,185 11,925 15,423 16,695 16,975 21,825 25,705 27,825 30,555 35,987 46,269 50,925 77,115 83,475 107,961

Collatz Trajectory (204 steps to reach 1)

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

8,097,075 24,291,226 12,145,613 36,436,840 18,218,420 9,109,210 4,554,605 13,663,816 6,831,908 3,415,954 1,707,977 5,123,932 2,561,966 1,280,983 3,842,950 1,921,475 5,764,426 2,882,213 8,646,640 4,323,320 2,161,660 1,080,830 540,415 1,621,246 810,623 2,431,870 1,215,935 3,647,806 1,823,903 5,471,710 2,735,855 8,207,566 4,103,783 12,311,350 6,155,675 18,467,026 9,233,513 27,700,540 13,850,270 6,925,135 20,775,406 10,387,703 31,163,110 15,581,555 46,744,666 23,372,333 70,117,000 35,058,500 17,529,250 8,764,625 26,293,876 13,146,938 6,573,469 19,720,408 9,860,204 4,930,102 2,465,051 7,395,154 3,697,577 11,092,732

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
← Previous Integer #8,097,074 Browse Full Index Next Integer #8,097,076 →