λ
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4,810,312

23 × 13 × 23 × 2011
Abundant Even Composite

4,810,312 factors as 2^3 × 13 × 23 × 2011. Its 32 positive divisors give a proper-divisor sum of 5,330,168, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 2011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,140,480
Proper Divisor Sum 5,330,168
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4810307 ← → #4810313

Radix Representation

Decimal 4810312
Binary 10010010110011001001000 (23 bits)
Octal 0o22263110
Hexadecimal 0x496648

Divisor Catalog (32)

1 2 4 8 13 23 26 46 52 92 104 184 299 598 1,196 2,011 2,392 4,022 8,044 16,088 26,143 46,253 52,286 92,506 104,572 185,012 209,144 370,024 601,289 1,202,578 2,405,156 4,810,312

Collatz Trajectory (69 steps to reach 1)

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

4,810,312 2,405,156 1,202,578 601,289 1,803,868 901,934 450,967 1,352,902 676,451 2,029,354 1,014,677 3,044,032 1,522,016 761,008 380,504 190,252 95,126 47,563 142,690 71,345 214,036 107,018 53,509 160,528 80,264 40,132 20,066 10,033 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26

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