2¹¹ × 3 × 13

Prime Factor Structure

Factorization String 2^11 × 3 × 13

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 229,320

Proper Divisor Sum 149,448

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #79867 ← → #79873

Radix Representation

Decimal	79872
Binary	10011100000000000 (17 bits)
Octal	0o234000
Hexadecimal	0x13800

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1,024 1,248 1,536 1,664 2,048 2,496 3,072 3,328 4,992 6,144 6,656 9,984 13,312 19,968 26,624 39,936 79,872

Collatz Trajectory (45 steps to reach 1)

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

79,872 39,936 19,968 9,984 4,992 2,496 1,248 624 312 156 78 39 118 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 #79,871 Browse Full Index Next Integer #79,873 →