26,316,441

3³ × 433 × 2251

26,316,441 factors as 3^3 × 433 × 2251. Its 16 positive divisors give a proper-divisor sum of 12,778,279, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3^3 × 433 × 2251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 39,094,720

Proper Divisor Sum 12,778,279

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #26316379 ← → #26316443

Radix Representation

Decimal	26316441
Binary	1100100011000111010011001 (25 bits)
Octal	0o144307231
Hexadecimal	0x1918E99

Divisor Catalog (16)

1 3 9 27 433 1,299 2,251 3,897 6,753 11,691 20,259 60,777 974,683 2,924,049 8,772,147 26,316,441

Collatz Trajectory (198 steps to reach 1)

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

26,316,441 78,949,324 39,474,662 19,737,331 59,211,994 29,605,997 88,817,992 44,408,996 22,204,498 11,102,249 33,306,748 16,653,374 8,326,687 24,980,062 12,490,031 37,470,094 18,735,047 56,205,142 28,102,571 84,307,714 42,153,857 126,461,572 63,230,786 31,615,393 94,846,180 47,423,090 23,711,545 71,134,636 35,567,318 17,783,659 53,350,978 26,675,489 80,026,468 40,013,234 20,006,617 60,019,852 30,009,926 15,004,963 45,014,890 22,507,445 67,522,336 33,761,168 16,880,584 8,440,292 4,220,146 2,110,073 6,330,220 3,165,110 1,582,555 4,747,666 2,373,833 7,121,500 3,560,750 1,780,375 5,341,126 2,670,563 8,011,690 4,005,845 12,017,536 6,008,768

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