2⁵ × 3² × 5² × 569

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 569

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 14,471,730

Proper Divisor Sum 10,374,930

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4096793 ← → #4096819

Radix Representation

Decimal	4096800
Binary	1111101000001100100000 (22 bits)
Octal	0o17501440
Hexadecimal	0x3E8320

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 569 600 720 800 900 1,138 1,200 1,440 1,707 1,800 2,276 2,400 2,845 3,414 3,600 4,552

Collatz Trajectory (110 steps to reach 1)

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

4,096,800 2,048,400 1,024,200 512,100 256,050 128,025 384,076 192,038 96,019 288,058 144,029 432,088 216,044 108,022 54,011 162,034 81,017 243,052 121,526 60,763 182,290 91,145 273,436 136,718 68,359 205,078 102,539 307,618 153,809 461,428 230,714 115,357 346,072 173,036 86,518 43,259 129,778 64,889 194,668 97,334 48,667 146,002 73,001 219,004 109,502 54,751 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915

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 #4,096,799 Browse Full Index Next Integer #4,096,801 →