2⁶ × 5² × 23

Prime Factor Structure

Factorization String 2^6 × 5^2 × 23

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 94,488

Proper Divisor Sum 57,688

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #36793 ← → #36809

Radix Representation

Decimal	36800
Binary	1000111111000000 (16 bits)
Octal	0o107700
Hexadecimal	0x8FC0

Divisor Catalog (42)

1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 160 184 200 230 320 368 400 460 575 736 800 920 1,150 1,472 1,600 1,840 2,300 3,680 4,600 7,360 9,200 18,400 36,800

Collatz Trajectory (49 steps to reach 1)

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

36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 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 #36,799 Browse Full Index Next Integer #36,801 →