λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,240
57,240
23 × 33 × 5 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 194,400
Proper Divisor Sum 137,160
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #57223 ← → #57241

Radix Representation

Decimal 57240
Binary 1101111110011000 (16 bits)
Octal 0o157630
Hexadecimal 0xDF98

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1,060 1,080 1,272 1,431 1,590 1,908 2,120 2,385 2,862 3,180 3,816 4,770 5,724 6,360 7,155 9,540 11,448

Collatz Trajectory (78 steps to reach 1)

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

57,240 28,620 14,310 7,155 21,466 10,733 32,200 16,100 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #57,239 Browse Full Index Next Integer #57,241 →