λ
Sigma Notebook

2,775,776

25 × 86743
Deficient Even Composite

2,775,776 is even and not a perfect square. Its factorization is 2^5 × 86743 and its 12 divisors sum to 5,464,872.

Prime Factor Structure

Factorization String 2^5 × 86743
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,464,872
Proper Divisor Sum 2,689,096
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2775761 ← → #2775781

Radix Representation

Decimal 2775776
Binary 1010100101101011100000 (22 bits)
Octal 0o12455340
Hexadecimal 0x2A5AE0

Divisor Catalog (12)

1 2 4 8 16 32 86,743 173,486 346,972 693,944 1,387,888 2,775,776

Collatz Trajectory (76 steps to reach 1)

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

2,775,776 1,387,888 693,944 346,972 173,486 86,743 260,230 130,115 390,346 195,173 585,520 292,760 146,380 73,190 36,595 109,786 54,893 164,680 82,340 41,170 20,585 61,756 30,878 15,439 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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