2⁹ × 11 × 19

Prime Factor Structure

Factorization String 2^9 × 11 × 19

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 245,520

Proper Divisor Sum 138,512

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #106993 ← → #107021

Radix Representation

Decimal	107008
Binary	11010001000000000 (17 bits)
Octal	0o321000
Hexadecimal	0x1A200

Divisor Catalog (40)

1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1,216 1,408 1,672 2,432 2,816 3,344 4,864 5,632 6,688 9,728 13,376 26,752 53,504 107,008

Collatz Trajectory (48 steps to reach 1)

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

107,008 53,504 26,752 13,376 6,688 3,344 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 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 #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 #107,007 Browse Full Index Next Integer #107,009 →