λ
Ratio Atlas
Atlas › Integer Profiles › Node 522,144
522,144
25 × 32 × 72 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7^2 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 1,773,954
Proper Divisor Sum 1,251,810
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #522127 ← → #522157

Radix Representation

Decimal 522144
Binary 1111111011110100000 (19 bits)
Octal 0o1773640
Hexadecimal 0x7F7A0

Divisor Catalog (60 of 108)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 49 56 63 72 74 84 96 98 111 112 126 144 147 148 168 196 222 224 252 259 288 294 296 333 336 392 441 444 504 518 588 592 666 672 777 784 882 888 1,008 1,036

Collatz Trajectory (71 steps to reach 1)

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

522,144 261,072 130,536 65,268 32,634 16,317 48,952 24,476 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #522,143 Browse Full Index Next Integer #522,145 →