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43,348,848

24 × 3 × 757 × 1193
Abundant Even Composite

43,348,848 factors as 2^4 × 3 × 757 × 1193. Its 40 positive divisors give a proper-divisor sum of 68,877,600, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 757 × 1193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 112,226,448
Proper Divisor Sum 68,877,600
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #43348841 ← → #43348853

Radix Representation

Decimal 43348848
Binary 10100101010111001101110000 (26 bits)
Octal 0o245271560
Hexadecimal 0x2957370

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 757 1,193 1,514 2,271 2,386 3,028 3,579 4,542 4,772 6,056 7,158 9,084 9,544 12,112 14,316 18,168 19,088 28,632 36,336 57,264 903,101 1,806,202 2,709,303 3,612,404 5,418,606 7,224,808 10,837,212 14,449,616 21,674,424 43,348,848

Collatz Trajectory (235 steps to reach 1)

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

43,348,848 21,674,424 10,837,212 5,418,606 2,709,303 8,127,910 4,063,955 12,191,866 6,095,933 18,287,800 9,143,900 4,571,950 2,285,975 6,857,926 3,428,963 10,286,890 5,143,445 15,430,336 7,715,168 3,857,584 1,928,792 964,396 482,198 241,099 723,298 361,649 1,084,948 542,474 271,237 813,712 406,856 203,428 101,714 50,857 152,572 76,286 38,143 114,430 57,215 171,646 85,823 257,470 128,735 386,206 193,103 579,310 289,655 868,966 434,483 1,303,450 651,725 1,955,176 977,588 488,794 244,397 733,192 366,596 183,298 91,649 274,948

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