λ
Sigma Notebook

2,768,716

22 × 71 × 9749
Deficient Even Composite

2,768,716 is even and not a perfect square. Its factorization is 2^2 × 71 × 9749 and its 12 divisors sum to 4,914,000.

Prime Factor Structure

Factorization String 2^2 × 71 × 9749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,914,000
Proper Divisor Sum 2,145,284
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2768683 ← → #2768767

Radix Representation

Decimal 2768716
Binary 1010100011111101001100 (22 bits)
Octal 0o12437514
Hexadecimal 0x2A3F4C

Divisor Catalog (12)

1 2 4 71 142 284 9,749 19,498 38,996 692,179 1,384,358 2,768,716

Collatz Trajectory (81 steps to reach 1)

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

2,768,716 1,384,358 692,179 2,076,538 1,038,269 3,114,808 1,557,404 778,702 389,351 1,168,054 584,027 1,752,082 876,041 2,628,124 1,314,062 657,031 1,971,094 985,547 2,956,642 1,478,321 4,434,964 2,217,482 1,108,741 3,326,224 1,663,112 831,556 415,778 207,889 623,668 311,834 155,917 467,752 233,876 116,938 58,469 175,408 87,704 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488

More profiles

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