λ
Sigma Notebook

4,707,661

7 × 41 × 47 × 349
Deficient Odd Composite

4,707,661 is odd and not a perfect square. Its factorization is 7 × 41 × 47 × 349 and its 16 divisors sum to 5,644,800.

Prime Factor Structure

Factorization String 7 × 41 × 47 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,644,800
Proper Divisor Sum 937,139
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4707643 ← → #4707667

Radix Representation

Decimal 4707661
Binary 10001111101010101001101 (23 bits)
Octal 0o21752515
Hexadecimal 0x47D54D

Divisor Catalog (16)

1 7 41 47 287 329 349 1,927 2,443 13,489 14,309 16,403 100,163 114,821 672,523 4,707,661

Collatz Trajectory (131 steps to reach 1)

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

4,707,661 14,122,984 7,061,492 3,530,746 1,765,373 5,296,120 2,648,060 1,324,030 662,015 1,986,046 993,023 2,979,070 1,489,535 4,468,606 2,234,303 6,702,910 3,351,455 10,054,366 5,027,183 15,081,550 7,540,775 22,622,326 11,311,163 33,933,490 16,966,745 50,900,236 25,450,118 12,725,059 38,175,178 19,087,589 57,262,768 28,631,384 14,315,692 7,157,846 3,578,923 10,736,770 5,368,385 16,105,156 8,052,578 4,026,289 12,078,868 6,039,434 3,019,717 9,059,152 4,529,576 2,264,788 1,132,394 566,197 1,698,592 849,296 424,648 212,324 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152

More profiles

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