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Atlas › Integer Profiles › Node 2,398,536

2,398,536

23 × 32 × 7 × 4759
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 4759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,425,600
Proper Divisor Sum 5,027,064
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2398523 ← → #2398537

Radix Representation

Decimal 2398536
Binary 1001001001100101001000 (22 bits)
Octal 0o11114510
Hexadecimal 0x249948

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4,759 9,518 14,277 19,036 28,554 33,313 38,072 42,831 57,108 66,626 85,662 99,939 114,216 133,252 171,324 199,878 266,504 299,817 342,648 399,756 599,634 799,512 1,199,268 2,398,536

Collatz Trajectory (55 steps to reach 1)

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

2,398,536 1,199,268 599,634 299,817 899,452 449,726 224,863 674,590 337,295 1,011,886 505,943 1,517,830 758,915 2,276,746 1,138,373 3,415,120 1,707,560 853,780 426,890 213,445 640,336 320,168 160,084 80,042 40,021 120,064 60,032 30,016 15,008 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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