2⁷ × 3³ × 5² × 563

Prime Factor Structure

Factorization String 2^7 × 3^3 × 5^2 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 178,336,800

Proper Divisor Sum 129,693,600

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #48643193 ← → #48643201

Radix Representation

Decimal	48643200
Binary	10111001100011110010000000 (26 bits)
Octal	0o271436200
Hexadecimal	0x2E63C80

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 270 288 300 320 360 384 400 432 450 480 540 563 576 600

Collatz Trajectory (85 steps to reach 1)

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

48,643,200 24,321,600 12,160,800 6,080,400 3,040,200 1,520,100 760,050 380,025 1,140,076 570,038 285,019 855,058 427,529 1,282,588 641,294 320,647 961,942 480,971 1,442,914 721,457 2,164,372 1,082,186 541,093 1,623,280 811,640 405,820 202,910 101,455 304,366 152,183 456,550 228,275 684,826 342,413 1,027,240 513,620 256,810 128,405 385,216 192,608 96,304 48,152 24,076 12,038 6,019 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #48,643,199 Browse Full Index Next Integer #48,643,201 →