λ
Sigma Notebook

7,647,718

2 × 13 × 107 × 2749
Deficient Even Composite

7,647,718 is even and not a perfect square. Its factorization is 2 × 13 × 107 × 2749 and its 16 divisors sum to 12,474,000.

Prime Factor Structure

Factorization String 2 × 13 × 107 × 2749
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,474,000
Proper Divisor Sum 4,826,282
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7647701 ← → #7647733

Radix Representation

Decimal 7647718
Binary 11101001011000111100110 (23 bits)
Octal 0o35130746
Hexadecimal 0x74B1E6

Divisor Catalog (16)

1 2 13 26 107 214 1,391 2,749 2,782 5,498 35,737 71,474 294,143 588,286 3,823,859 7,647,718

Collatz Trajectory (173 steps to reach 1)

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

7,647,718 3,823,859 11,471,578 5,735,789 17,207,368 8,603,684 4,301,842 2,150,921 6,452,764 3,226,382 1,613,191 4,839,574 2,419,787 7,259,362 3,629,681 10,889,044 5,444,522 2,722,261 8,166,784 4,083,392 2,041,696 1,020,848 510,424 255,212 127,606 63,803 191,410 95,705 287,116 143,558 71,779 215,338 107,669 323,008 161,504 80,752 40,376 20,188 10,094 5,047 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349

More profiles

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