λ
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5,726,656

26 × 13 × 6883
Abundant Even Composite

5,726,656 factors as 2^6 × 13 × 6883. Its 28 positive divisors give a proper-divisor sum of 6,513,096, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 6883
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 12,239,752
Proper Divisor Sum 6,513,096
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5726639 ← → #5726663

Radix Representation

Decimal 5726656
Binary 10101110110000111000000 (23 bits)
Octal 0o25660700
Hexadecimal 0x5761C0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 6,883 13,766 27,532 55,064 89,479 110,128 178,958 220,256 357,916 440,512 715,832 1,431,664 2,863,328 5,726,656

Collatz Trajectory (77 steps to reach 1)

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

5,726,656 2,863,328 1,431,664 715,832 357,916 178,958 89,479 268,438 134,219 402,658 201,329 603,988 301,994 150,997 452,992 226,496 113,248 56,624 28,312 14,156 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

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