λ
Ratio Atlas
Atlas › Integer Profiles › Node 724,752
724,752
24 × 32 × 7 × 719
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 2,321,280
Proper Divisor Sum 1,596,528
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #724751 ← → #724769

Radix Representation

Decimal 724752
Binary 10110000111100010000 (20 bits)
Octal 0o2607420
Hexadecimal 0xB0F10

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 719 1,008 1,438 2,157 2,876 4,314 5,033 5,752 6,471 8,628 10,066 11,504 12,942 15,099 17,256 20,132 25,884 30,198 34,512 40,264 45,297 51,768 60,396 80,528 90,594 103,536 120,792 181,188 241,584 362,376 724,752

Collatz Trajectory (43 steps to reach 1)

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

724,752 362,376 181,188 90,594 45,297 135,892 67,946 33,973 101,920 50,960 25,480 12,740 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 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 #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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