λ
Ratio Atlas
Atlas › Integer Profiles › Node 725,904
725,904
24 × 32 × 712
Abundant Even Composite Square (√ = 852)

Prime Factor Structure

Factorization String 2^4 × 3^2 × 71^2
Distinct Prime Factors 3
Square Status Yes (√725904 = 852)
Abundance Measure Abundant

Analytical Properties

Total Divisors 45
Divisor Sum (σ) 2,060,539
Proper Divisor Sum 1,334,635
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #725897 ← → #725909

Radix Representation

Decimal 725904
Binary 10110001001110010000 (20 bits)
Octal 0o2611620
Hexadecimal 0xB1390

Divisor Catalog (45)

1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1,136 1,278 1,704 2,556 3,408 5,041 5,112 10,082 10,224 15,123 20,164 30,246 40,328 45,369 60,492 80,656 90,738 120,984 181,476 241,968 362,952 725,904

Collatz Trajectory (92 steps to reach 1)

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

725,904 362,952 181,476 90,738 45,369 136,108 68,054 34,027 102,082 51,041 153,124 76,562 38,281 114,844 57,422 28,711 86,134 43,067 129,202 64,601 193,804 96,902 48,451 145,354 72,677 218,032 109,016 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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