λ
Ratio Atlas
Atlas › Integer Profiles › Node 642,000
642,000
24 × 3 × 53 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 2,089,152
Proper Divisor Sum 1,447,152
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #641981 ← → #642011

Radix Representation

Decimal 642000
Binary 10011100101111010000 (20 bits)
Octal 0o2345720
Hexadecimal 0x9CBD0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 125 150 200 214 240 250 300 321 375 400 428 500 535 600 642 750 856 1,000 1,070 1,200 1,284 1,500 1,605 1,712 2,000 2,140 2,568 2,675 3,000 3,210 4,280 5,136 5,350 6,000 6,420 8,025

Collatz Trajectory (53 steps to reach 1)

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

642,000 321,000 160,500 80,250 40,125 120,376 60,188 30,094 15,047 45,142 22,571 67,714 33,857 101,572 50,786 25,393 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 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 #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 #641,999 Browse Full Index Next Integer #642,001 →