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Atlas › Integer Profiles › Node 8,992,224

8,992,224

25 × 32 × 31223
Abundant Even Composite

8,992,224 factors as 2^5 × 3^2 × 31223. Its 36 positive divisors give a proper-divisor sum of 16,580,232, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 31223
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,572,456
Proper Divisor Sum 16,580,232
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8992219 ← → #8992229

Radix Representation

Decimal 8992224
Binary 100010010011010111100000 (24 bits)
Octal 0o42232740
Hexadecimal 0x8935E0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 31,223 62,446 93,669 124,892 187,338 249,784 281,007 374,676 499,568 562,014 749,352 999,136 1,124,028 1,498,704 2,248,056 2,997,408 4,496,112 8,992,224

Collatz Trajectory (111 steps to reach 1)

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

8,992,224 4,496,112 2,248,056 1,124,028 562,014 281,007 843,022 421,511 1,264,534 632,267 1,896,802 948,401 2,845,204 1,422,602 711,301 2,133,904 1,066,952 533,476 266,738 133,369 400,108 200,054 100,027 300,082 150,041 450,124 225,062 112,531 337,594 168,797 506,392 253,196 126,598 63,299 189,898 94,949 284,848 142,424 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508

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