12,432,576

2⁶ × 3 × 13 × 17 × 293

12,432,576 factors as 2^6 × 3 × 13 × 17 × 293. Its 112 positive divisors give a proper-divisor sum of 25,204,128, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 17 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 37,636,704

Proper Divisor Sum 25,204,128

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #12432571 ← → #12432583

Radix Representation

Decimal	12432576
Binary	101111011011010011000000 (24 bits)
Octal	0o57332300
Hexadecimal	0xBDB4C0

Divisor Catalog (60 of 112)

1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 293 312 408 416 442 544 586 624 663 816 832 879 884 1,088 1,172 1,248 1,326 1,632 1,758 1,768 2,344 2,496 2,652 3,264 3,516 3,536 3,809 4,688 4,981

Collatz Trajectory (197 steps to reach 1)

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

12,432,576 6,216,288 3,108,144 1,554,072 777,036 388,518 194,259 582,778 291,389 874,168 437,084 218,542 109,271 327,814 163,907 491,722 245,861 737,584 368,792 184,396 92,198 46,099 138,298 69,149 207,448 103,724 51,862 25,931 77,794 38,897 116,692 58,346 29,173 87,520 43,760 21,880 10,940 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194

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