λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,720
9,720
23 × 35 × 5
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,760
Proper Divisor Sum 23,040
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #9719 ← → #9721

Radix Representation

Decimal 9720
Binary 10010111111000 (14 bits)
Octal 0o22770
Hexadecimal 0x25F8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1,080 1,215 1,620 1,944 2,430 3,240 4,860 9,720

Collatz Trajectory (166 steps to reach 1)

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

9,720 4,860 2,430 1,215 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #9,719 Browse Full Index Next Integer #9,721 →