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Atlas › Integer Profiles › Node 9,023,744

9,023,744

28 × 101 × 349
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 101 × 349
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,242,700
Proper Divisor Sum 9,218,956
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9023737 ← → #9023747

Radix Representation

Decimal 9023744
Binary 100010011011000100000000 (24 bits)
Octal 0o42330400
Hexadecimal 0x89B100

Divisor Catalog (36)

1 2 4 8 16 32 64 101 128 202 256 349 404 698 808 1,396 1,616 2,792 3,232 5,584 6,464 11,168 12,928 22,336 25,856 35,249 44,672 70,498 89,344 140,996 281,992 563,984 1,127,968 2,255,936 4,511,872 9,023,744

Collatz Trajectory (150 steps to reach 1)

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

9,023,744 4,511,872 2,255,936 1,127,968 563,984 281,992 140,996 70,498 35,249 105,748 52,874 26,437 79,312 39,656 19,828 9,914 4,957 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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