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12,192,552

23 × 33 × 47 × 1201
Abundant Even Composite

12,192,552 factors as 2^3 × 3^3 × 47 × 1201. Its 64 positive divisors give a proper-divisor sum of 22,425,048, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 47 × 1201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 34,617,600
Proper Divisor Sum 22,425,048
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12192541 ← → #12192569

Radix Representation

Decimal 12192552
Binary 101110100000101100101000 (24 bits)
Octal 0o56405450
Hexadecimal 0xBA0B28

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1,128 1,201 1,269 1,692 2,402 2,538 3,384 3,603 4,804 5,076 7,206 9,608 10,152 10,809 14,412 21,618 28,824 32,427 43,236 56,447 64,854 86,472 112,894 129,708 169,341 225,788 259,416 338,682 451,576 508,023 677,364 1,016,046 1,354,728 1,524,069 2,032,092

Collatz Trajectory (83 steps to reach 1)

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

12,192,552 6,096,276 3,048,138 1,524,069 4,572,208 2,286,104 1,143,052 571,526 285,763 857,290 428,645 1,285,936 642,968 321,484 160,742 80,371 241,114 120,557 361,672 180,836 90,418 45,209 135,628 67,814 33,907 101,722 50,861 152,584 76,292 38,146 19,073 57,220 28,610 14,305 42,916 21,458 10,729 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892

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