2,677,419

3² × 521 × 571

2,677,419 is odd and not a perfect square. Its factorization is 3^2 × 521 × 571 and its 12 divisors sum to 3,881,592.

Prime Factor Structure

Factorization String 3^2 × 521 × 571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,881,592

Proper Divisor Sum 1,204,173

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2677393 ← → #2677447

Radix Representation

Decimal	2677419
Binary	1010001101101010101011 (22 bits)
Octal	0o12155253
Hexadecimal	0x28DAAB

Divisor Catalog (12)

1 3 9 521 571 1,563 1,713 4,689 5,139 297,491 892,473 2,677,419

Collatz Trajectory (94 steps to reach 1)

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

2,677,419 8,032,258 4,016,129 12,048,388 6,024,194 3,012,097 9,036,292 4,518,146 2,259,073 6,777,220 3,388,610 1,694,305 5,082,916 2,541,458 1,270,729 3,812,188 1,906,094 953,047 2,859,142 1,429,571 4,288,714 2,144,357 6,433,072 3,216,536 1,608,268 804,134 402,067 1,206,202 603,101 1,809,304 904,652 452,326 226,163 678,490 339,245 1,017,736 508,868 254,434 127,217 381,652 190,826 95,413 286,240 143,120 71,560 35,780 17,890 8,945 26,836 13,418 6,709 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472

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