12,371,520

2⁶ × 3 × 5 × 7² × 263

12,371,520 factors as 2^6 × 3 × 5 × 7^2 × 263. Its 168 positive divisors give a proper-divisor sum of 33,494,784, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7^2 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 45,866,304

Proper Divisor Sum 33,494,784

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #12371519 ← → #12371521

Radix Representation

Decimal	12371520
Binary	101111001100011001000000 (24 bits)
Octal	0o57143100
Hexadecimal	0xBCC640

Divisor Catalog (60 of 168)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 140 147 160 168 192 196 210 224 240 245 263 280 294 320 336 392 420 448 480 490 526 560 588 672 735

Collatz Trajectory (104 steps to reach 1)

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

12,371,520 6,185,760 3,092,880 1,546,440 773,220 386,610 193,305 579,916 289,958 144,979 434,938 217,469 652,408 326,204 163,102 81,551 244,654 122,327 366,982 183,491 550,474 275,237 825,712 412,856 206,428 103,214 51,607 154,822 77,411 232,234 116,117 348,352 174,176 87,088 43,544 21,772 10,886 5,443 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182

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