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4,427,864

23 × 7 × 37 × 2137
Abundant Even Composite

4,427,864 factors as 2^3 × 7 × 37 × 2137. Its 32 positive divisors give a proper-divisor sum of 5,321,416, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 37 × 2137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,749,280
Proper Divisor Sum 5,321,416
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4427851 ← → #4427879

Radix Representation

Decimal 4427864
Binary 10000111001000001011000 (23 bits)
Octal 0o20710130
Hexadecimal 0x439058

Divisor Catalog (32)

1 2 4 7 8 14 28 37 56 74 148 259 296 518 1,036 2,072 2,137 4,274 8,548 14,959 17,096 29,918 59,836 79,069 119,672 158,138 316,276 553,483 632,552 1,106,966 2,213,932 4,427,864

Collatz Trajectory (136 steps to reach 1)

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

4,427,864 2,213,932 1,106,966 553,483 1,660,450 830,225 2,490,676 1,245,338 622,669 1,868,008 934,004 467,002 233,501 700,504 350,252 175,126 87,563 262,690 131,345 394,036 197,018 98,509 295,528 147,764 73,882 36,941 110,824 55,412 27,706 13,853 41,560 20,780 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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