12,100,725

3³ × 5² × 7 × 13 × 197

12,100,725 factors as 3^3 × 5^2 × 7 × 13 × 197. Its 96 positive divisors give a proper-divisor sum of 15,397,515, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7 × 13 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,498,240

Proper Divisor Sum 15,397,515

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #12100721 ← → #12100727

Radix Representation

Decimal	12100725
Binary	101110001010010001110101 (24 bits)
Octal	0o56122165
Hexadecimal	0xB8A475

Divisor Catalog (60 of 96)

1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 135 175 189 195 197 225 273 315 325 351 455 525 585 591 675 819 945 975 985 1,365 1,379 1,575 1,755 1,773 2,275 2,457 2,561 2,925 2,955 4,095 4,137 4,725 4,925 5,319 6,825 6,895 7,683 8,775 8,865 12,285 12,411

Collatz Trajectory (135 steps to reach 1)

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

12,100,725 36,302,176 18,151,088 9,075,544 4,537,772 2,268,886 1,134,443 3,403,330 1,701,665 5,104,996 2,552,498 1,276,249 3,828,748 1,914,374 957,187 2,871,562 1,435,781 4,307,344 2,153,672 1,076,836 538,418 269,209 807,628 403,814 201,907 605,722 302,861 908,584 454,292 227,146 113,573 340,720 170,360 85,180 42,590 21,295 63,886 31,943 95,830 47,915 143,746 71,873 215,620 107,810 53,905 161,716 80,858 40,429 121,288 60,644 30,322 15,161 45,484 22,742 11,371 34,114 17,057 51,172 25,586 12,793

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