λ
Sigma Notebook

2,711,555

5 × 7 × 11 × 7043
Deficient Odd Composite

2,711,555 is odd and not a perfect square. Its factorization is 5 × 7 × 11 × 7043 and its 16 divisors sum to 4,057,344.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 7043
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,057,344
Proper Divisor Sum 1,345,789
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2711549 ← → #2711567

Radix Representation

Decimal 2711555
Binary 1010010110000000000011 (22 bits)
Octal 0o12260003
Hexadecimal 0x296003

Divisor Catalog (16)

1 5 7 11 35 55 77 385 7,043 35,215 49,301 77,473 246,505 387,365 542,311 2,711,555

Collatz Trajectory (112 steps to reach 1)

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

2,711,555 8,134,666 4,067,333 12,202,000 6,101,000 3,050,500 1,525,250 762,625 2,287,876 1,143,938 571,969 1,715,908 857,954 428,977 1,286,932 643,466 321,733 965,200 482,600 241,300 120,650 60,325 180,976 90,488 45,244 22,622 11,311 33,934 16,967 50,902 25,451 76,354 38,177 114,532 57,266 28,633 85,900 42,950 21,475 64,426 32,213 96,640 48,320 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479

More profiles

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