λ
Ratio Atlas
Atlas › Integer Profiles › Node 288,240
288,240
24 × 3 × 5 × 1201
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 1201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 894,288
Proper Divisor Sum 606,048
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #288227 ← → #288241

Radix Representation

Decimal 288240
Binary 1000110010111110000 (19 bits)
Octal 0o1062760
Hexadecimal 0x465F0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1,201 2,402 3,603 4,804 6,005 7,206 9,608 12,010 14,412 18,015 19,216 24,020 28,824 36,030 48,040 57,648 72,060 96,080 144,120 288,240

Collatz Trajectory (83 steps to reach 1)

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

288,240 144,120 72,060 36,030 18,015 54,046 27,023 81,070 40,535 121,606 60,803 182,410 91,205 273,616 136,808 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308

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 #288,239 Browse Full Index Next Integer #288,241 →