λ
Sigma Notebook

2,767,910

2 × 5 × 41 × 43 × 157
Deficient Even Composite

2,767,910 is even and not a perfect square. Its factorization is 2 × 5 × 41 × 43 × 157 and its 32 divisors sum to 5,255,712.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 43 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,255,712
Proper Divisor Sum 2,487,802
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2767883 ← → #2767913

Radix Representation

Decimal 2767910
Binary 1010100011110000100110 (22 bits)
Octal 0o12436046
Hexadecimal 0x2A3C26

Divisor Catalog (32)

1 2 5 10 41 43 82 86 157 205 215 314 410 430 785 1,570 1,763 3,526 6,437 6,751 8,815 12,874 13,502 17,630 32,185 33,755 64,370 67,510 276,791 553,582 1,383,955 2,767,910

Collatz Trajectory (161 steps to reach 1)

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

2,767,910 1,383,955 4,151,866 2,075,933 6,227,800 3,113,900 1,556,950 778,475 2,335,426 1,167,713 3,503,140 1,751,570 875,785 2,627,356 1,313,678 656,839 1,970,518 985,259 2,955,778 1,477,889 4,433,668 2,216,834 1,108,417 3,325,252 1,662,626 831,313 2,493,940 1,246,970 623,485 1,870,456 935,228 467,614 233,807 701,422 350,711 1,052,134 526,067 1,578,202 789,101 2,367,304 1,183,652 591,826 295,913 887,740 443,870 221,935 665,806 332,903 998,710 499,355 1,498,066 749,033 2,247,100 1,123,550 561,775 1,685,326 842,663 2,527,990 1,263,995 3,791,986

More profiles

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