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9,200,224

25 × 11 × 59 × 443
Abundant Even Composite

9,200,224 factors as 2^5 × 11 × 59 × 443. Its 48 positive divisors give a proper-divisor sum of 10,939,616, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 59 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,139,840
Proper Divisor Sum 10,939,616
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #9200183 ← → #9200227

Radix Representation

Decimal 9200224
Binary 100011000110001001100000 (24 bits)
Octal 0o43061140
Hexadecimal 0x8C6260

Divisor Catalog (48)

1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 443 472 649 886 944 1,298 1,772 1,888 2,596 3,544 4,873 5,192 7,088 9,746 10,384 14,176 19,492 20,768 26,137 38,984 52,274 77,968 104,548 155,936 209,096 287,507 418,192 575,014 836,384 1,150,028 2,300,056 4,600,112 9,200,224

Collatz Trajectory (101 steps to reach 1)

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

9,200,224 4,600,112 2,300,056 1,150,028 575,014 287,507 862,522 431,261 1,293,784 646,892 323,446 161,723 485,170 242,585 727,756 363,878 181,939 545,818 272,909 818,728 409,364 204,682 102,341 307,024 153,512 76,756 38,378 19,189 57,568 28,784 14,392 7,196 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271

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