2³ × 3 × 7² × 23

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 82,080

Proper Divisor Sum 55,032

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #27043 ← → #27059

Radix Representation

Decimal	27048
Binary	110100110101000 (15 bits)
Octal	0o64650
Hexadecimal	0x69A8

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 483 552 588 644 966 1,127 1,176 1,288 1,932 2,254 3,381 3,864 4,508 6,762 9,016 13,524 27,048

Collatz Trajectory (46 steps to reach 1)

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

27,048 13,524 6,762 3,381 10,144 5,072 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #27,047 Browse Full Index Next Integer #27,049 →