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41,350,656

29 × 3 × 26921
Abundant Even Composite

41,350,656 factors as 2^9 × 3 × 26921. Its 40 positive divisors give a proper-divisor sum of 68,814,168, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^9 × 3 × 26921
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 110,164,824
Proper Divisor Sum 68,814,168
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #41350637 ← → #41350657

Radix Representation

Decimal 41350656
Binary 10011101101111011000000000 (26 bits)
Octal 0o235573000
Hexadecimal 0x276F600

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1,536 26,921 53,842 80,763 107,684 161,526 215,368 323,052 430,736 646,104 861,472 1,292,208 1,722,944 2,584,416 3,445,888 5,168,832 6,891,776 10,337,664 13,783,552 20,675,328 41,350,656

Collatz Trajectory (178 steps to reach 1)

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

41,350,656 20,675,328 10,337,664 5,168,832 2,584,416 1,292,208 646,104 323,052 161,526 80,763 242,290 121,145 363,436 181,718 90,859 272,578 136,289 408,868 204,434 102,217 306,652 153,326 76,663 229,990 114,995 344,986 172,493 517,480 258,740 129,370 64,685 194,056 97,028 48,514 24,257 72,772 36,386 18,193 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738

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