2,710,413

3² × 61 × 4937

2,710,413 is odd and not a perfect square. Its factorization is 3^2 × 61 × 4937 and its 12 divisors sum to 3,980,028.

Prime Factor Structure

Factorization String 3^2 × 61 × 4937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,980,028

Proper Divisor Sum 1,269,615

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2710403 ← → #2710439

Radix Representation

Decimal	2710413
Binary	1010010101101110001101 (22 bits)
Octal	0o12255615
Hexadecimal	0x295B8D

Divisor Catalog (12)

1 3 9 61 183 549 4,937 14,811 44,433 301,157 903,471 2,710,413

Collatz Trajectory (138 steps to reach 1)

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

2,710,413 8,131,240 4,065,620 2,032,810 1,016,405 3,049,216 1,524,608 762,304 381,152 190,576 95,288 47,644 23,822 11,911 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224

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