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2,396,568

23 × 3 × 61 × 1637
Abundant Even Composite

2,396,568 factors as 2^3 × 3 × 61 × 1637. Its 32 positive divisors give a proper-divisor sum of 3,696,792, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 61 × 1637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,093,360
Proper Divisor Sum 3,696,792
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2396567 ← → #2396587

Radix Representation

Decimal 2396568
Binary 1001001001000110011000 (22 bits)
Octal 0o11110630
Hexadecimal 0x249198

Divisor Catalog (32)

1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1,464 1,637 3,274 4,911 6,548 9,822 13,096 19,644 39,288 99,857 199,714 299,571 399,428 599,142 798,856 1,198,284 2,396,568

Collatz Trajectory (205 steps to reach 1)

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

2,396,568 1,198,284 599,142 299,571 898,714 449,357 1,348,072 674,036 337,018 168,509 505,528 252,764 126,382 63,191 189,574 94,787 284,362 142,181 426,544 213,272 106,636 53,318 26,659 79,978 39,989 119,968 59,984 29,992 14,996 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227

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