λ
Sigma Notebook

2,765,788

22 × 29 × 113 × 211
Deficient Even Composite

2,765,788 is even and not a perfect square. Its factorization is 2^2 × 29 × 113 × 211 and its 24 divisors sum to 5,075,280.

Prime Factor Structure

Factorization String 2^2 × 29 × 113 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,075,280
Proper Divisor Sum 2,309,492
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2765783 ← → #2765797

Radix Representation

Decimal 2765788
Binary 1010100011001111011100 (22 bits)
Octal 0o12431734
Hexadecimal 0x2A33DC

Divisor Catalog (24)

1 2 4 29 58 113 116 211 226 422 452 844 3,277 6,119 6,554 12,238 13,108 23,843 24,476 47,686 95,372 691,447 1,382,894 2,765,788

Collatz Trajectory (169 steps to reach 1)

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

2,765,788 1,382,894 691,447 2,074,342 1,037,171 3,111,514 1,555,757 4,667,272 2,333,636 1,166,818 583,409 1,750,228 875,114 437,557 1,312,672 656,336 328,168 164,084 82,042 41,021 123,064 61,532 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82

More profiles

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