λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,296,400
1,296,400
24 × 52 × 7 × 463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 3,567,232
Proper Divisor Sum 2,270,832
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1296391 ← → #1296409

Radix Representation

Decimal 1296400
Binary 100111100100000010000 (21 bits)
Octal 0o4744020
Hexadecimal 0x13C810

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 463 560 700 926 1,400 1,852 2,315 2,800 3,241 3,704 4,630 6,482 7,408 9,260 11,575 12,964 16,205 18,520 23,150 25,928 32,410 37,040 46,300 51,856 64,820 81,025 92,600 129,640 162,050 185,200 259,280 324,100 648,200 1,296,400

Collatz Trajectory (80 steps to reach 1)

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

1,296,400 648,200 324,100 162,050 81,025 243,076 121,538 60,769 182,308 91,154 45,577 136,732 68,366 34,183 102,550 51,275 153,826 76,913 230,740 115,370 57,685 173,056 86,528 43,264 21,632 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

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
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