2⁵ × 3 × 5 × 7 × 17

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 217,728

Proper Divisor Sum 160,608

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #57119 ← → #57131

Radix Representation

Decimal	57120
Binary	1101111100100000 (16 bits)
Octal	0o157440
Hexadecimal	0xDF20

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 68 70 80 84 85 96 102 105 112 119 120 136 140 160 168 170 204 210 224 238 240 255 272 280 336 340 357 408 420 476 480 510

Collatz Trajectory (34 steps to reach 1)

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

57,120 28,560 14,280 7,140 3,570 1,785 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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 #57,119 Browse Full Index Next Integer #57,121 →