λ
Ratio Atlas
Atlas › Integer Profiles › Node 219,024
219,024
24 × 34 × 132
Abundant Even Composite Square (√ = 468)

Prime Factor Structure

Factorization String 2^4 × 3^4 × 13^2
Distinct Prime Factors 3
Square Status Yes (√219024 = 468)
Abundance Measure Abundant

Analytical Properties

Total Divisors 75
Divisor Sum (σ) 686,433
Proper Divisor Sum 467,409
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #219019 ← → #219031

Radix Representation

Decimal 219024
Binary 110101011110010000 (18 bits)
Octal 0o653620
Hexadecimal 0x35790

Divisor Catalog (60 of 75)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 432 468 507 624 648 676 702 936 1,014 1,053 1,296 1,352 1,404 1,521 1,872 2,028 2,106 2,704 2,808 3,042 4,056 4,212 4,563 5,616

Collatz Trajectory (155 steps to reach 1)

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

219,024 109,512 54,756 27,378 13,689 41,068 20,534 10,267 30,802 15,401 46,204 23,102 11,551 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #219,023 Browse Full Index Next Integer #219,025 →