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Atlas › Integer Profiles › Node 3,811,676

3,811,676

22 × 11 × 86629
Deficient Even Composite

3,811,676 factors as 2^2 × 11 × 86629. Its 12 positive divisors give a proper-divisor sum of 3,465,244, so this integer is deficient. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 86629
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,276,920
Proper Divisor Sum 3,465,244
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3811669 ← → #3811681

Radix Representation

Decimal 3811676
Binary 1110100010100101011100 (22 bits)
Octal 0o16424534
Hexadecimal 0x3A295C

Divisor Catalog (12)

1 2 4 11 22 44 86,629 173,258 346,516 952,919 1,905,838 3,811,676

Collatz Trajectory (53 steps to reach 1)

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

3,811,676 1,905,838 952,919 2,858,758 1,429,379 4,288,138 2,144,069 6,432,208 3,216,104 1,608,052 804,026 402,013 1,206,040 603,020 301,510 150,755 452,266 226,133 678,400 339,200 169,600 84,800 42,400 21,200 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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