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2,862,416

24 × 29 × 31 × 199
Abundant Even Composite

2,862,416 factors as 2^4 × 29 × 31 × 199. Its 40 positive divisors give a proper-divisor sum of 3,089,584, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 31 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,952,000
Proper Divisor Sum 3,089,584
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2862413 ← → #2862437

Radix Representation

Decimal 2862416
Binary 1010111010110101010000 (22 bits)
Octal 0o12726520
Hexadecimal 0x2BAD50

Divisor Catalog (40)

1 2 4 8 16 29 31 58 62 116 124 199 232 248 398 464 496 796 899 1,592 1,798 3,184 3,596 5,771 6,169 7,192 11,542 12,338 14,384 23,084 24,676 46,168 49,352 92,336 98,704 178,901 357,802 715,604 1,431,208 2,862,416

Collatz Trajectory (76 steps to reach 1)

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

2,862,416 1,431,208 715,604 357,802 178,901 536,704 268,352 134,176 67,088 33,544 16,772 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88

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