λ
Sigma Notebook

7,547,726

2 × 23 × 71 × 2311
Deficient Even Composite

7,547,726 is even and not a perfect square. Its factorization is 2 × 23 × 71 × 2311 and its 16 divisors sum to 11,985,408.

Prime Factor Structure

Factorization String 2 × 23 × 71 × 2311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,985,408
Proper Divisor Sum 4,437,682
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7547723 ← → #7547753

Radix Representation

Decimal 7547726
Binary 11100110010101101001110 (23 bits)
Octal 0o34625516
Hexadecimal 0x732B4E

Divisor Catalog (16)

1 2 23 46 71 142 1,633 2,311 3,266 4,622 53,153 106,306 164,081 328,162 3,773,863 7,547,726

Collatz Trajectory (217 steps to reach 1)

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

7,547,726 3,773,863 11,321,590 5,660,795 16,982,386 8,491,193 25,473,580 12,736,790 6,368,395 19,105,186 9,552,593 28,657,780 14,328,890 7,164,445 21,493,336 10,746,668 5,373,334 2,686,667 8,060,002 4,030,001 12,090,004 6,045,002 3,022,501 9,067,504 4,533,752 2,266,876 1,133,438 566,719 1,700,158 850,079 2,550,238 1,275,119 3,825,358 1,912,679 5,738,038 2,869,019 8,607,058 4,303,529 12,910,588 6,455,294 3,227,647 9,682,942 4,841,471 14,524,414 7,262,207 21,786,622 10,893,311 32,679,934 16,339,967 49,019,902 24,509,951 73,529,854 36,764,927 110,294,782 55,147,391 165,442,174 82,721,087 248,163,262 124,081,631 372,244,894

More profiles

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