λ
Ratio Atlas
Atlas › Integer Profiles › Node 629,280
629,280
25 × 32 × 5 × 19 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 19 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 2,358,720
Proper Divisor Sum 1,729,440
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #629263 ← → #629281

Radix Representation

Decimal 629280
Binary 10011001101000100000 (20 bits)
Octal 0o2315040
Hexadecimal 0x99A20

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 30 32 36 38 40 45 46 48 57 60 69 72 76 80 90 92 95 96 114 115 120 138 144 152 160 171 180 184 190 207 228 230 240 276 285 288 304 342 345 360 368 380 414

Collatz Trajectory (53 steps to reach 1)

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

629,280 314,640 157,320 78,660 39,330 19,665 58,996 29,498 14,749 44,248 22,124 11,062 5,531 16,594 8,297 24,892 12,446 6,223 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 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
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