λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,272,000
10,272,000
28 × 3 × 53 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3 × 5^3 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 34,437,312
Proper Divisor Sum 24,165,312
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #10271957 ← → #10272001

Radix Representation

Decimal 10272000
Binary 100111001011110100000000 (24 bits)
Octal 0o47136400
Hexadecimal 0x9CBD00

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 107 120 125 128 150 160 192 200 214 240 250 256 300 320 321 375 384 400 428 480 500 535 600 640 642 750 768 800 856 960 1,000 1,070 1,200 1,280 1,284

Collatz Trajectory (57 steps to reach 1)

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

10,272,000 5,136,000 2,568,000 1,284,000 642,000 321,000 160,500 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 #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
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