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43,345,840

24 × 5 × 19 × 28517
Abundant Even Composite

43,345,840 factors as 2^4 × 5 × 19 × 28517. Its 40 positive divisors give a proper-divisor sum of 62,741,120, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 19 × 28517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 106,086,960
Proper Divisor Sum 62,741,120
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #43345831 ← → #43345847

Radix Representation

Decimal 43345840
Binary 10100101010110011110110000 (26 bits)
Octal 0o245263660
Hexadecimal 0x29567B0

Divisor Catalog (40)

1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1,520 28,517 57,034 114,068 142,585 228,136 285,170 456,272 541,823 570,340 1,083,646 1,140,680 2,167,292 2,281,360 2,709,115 4,334,584 5,418,230 8,669,168 10,836,460 21,672,920 43,345,840

Collatz Trajectory (142 steps to reach 1)

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

43,345,840 21,672,920 10,836,460 5,418,230 2,709,115 8,127,346 4,063,673 12,191,020 6,095,510 3,047,755 9,143,266 4,571,633 13,714,900 6,857,450 3,428,725 10,286,176 5,143,088 2,571,544 1,285,772 642,886 321,443 964,330 482,165 1,446,496 723,248 361,624 180,812 90,406 45,203 135,610 67,805 203,416 101,708 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826

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