6,409,458

2 × 3² × 11 × 32371

6,409,458 factors as 2 × 3^2 × 11 × 32371. Its 24 positive divisors give a proper-divisor sum of 8,740,638, so this integer is abundant. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 32371

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,150,096

Proper Divisor Sum 8,740,638

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6409409 ← → #6409471

Radix Representation

Decimal	6409458
Binary	11000011100110011110010 (23 bits)
Octal	0o30346362
Hexadecimal	0x61CCF2

Divisor Catalog (24)

Collatz Trajectory (302 steps to reach 1)

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

6,409,458 3,204,729 9,614,188 4,807,094 2,403,547 7,210,642 3,605,321 10,815,964 5,407,982 2,703,991 8,111,974 4,055,987 12,167,962 6,083,981 18,251,944 9,125,972 4,562,986 2,281,493 6,844,480 3,422,240 1,711,120 855,560 427,780 213,890 106,945 320,836 160,418 80,209 240,628 120,314 60,157 180,472 90,236 45,118 22,559 67,678 33,839 101,518 50,759 152,278 76,139 228,418 114,209 342,628 171,314 85,657 256,972 128,486 64,243 192,730 96,365 289,096 144,548 72,274 36,137 108,412 54,206 27,103 81,310 40,655

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