λ
Sigma Notebook

3,831,646

2 × 7 × 13 × 37 × 569
Deficient Even Composite

3,831,646 is even and not a perfect square. Its factorization is 2 × 7 × 13 × 37 × 569 and its 32 divisors sum to 7,277,760.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 37 × 569
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,277,760
Proper Divisor Sum 3,446,114
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3831643 ← → #3831649

Radix Representation

Decimal 3831646
Binary 1110100111011101011110 (22 bits)
Octal 0o16473536
Hexadecimal 0x3A775E

Divisor Catalog (32)

1 2 7 13 14 26 37 74 91 182 259 481 518 569 962 1,138 3,367 3,983 6,734 7,397 7,966 14,794 21,053 42,106 51,779 103,558 147,371 273,689 294,742 547,378 1,915,823 3,831,646

Collatz Trajectory (172 steps to reach 1)

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

3,831,646 1,915,823 5,747,470 2,873,735 8,621,206 4,310,603 12,931,810 6,465,905 19,397,716 9,698,858 4,849,429 14,548,288 7,274,144 3,637,072 1,818,536 909,268 454,634 227,317 681,952 340,976 170,488 85,244 42,622 21,311 63,934 31,967 95,902 47,951 143,854 71,927 215,782 107,891 323,674 161,837 485,512 242,756 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052

More profiles

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