λ
Sigma Notebook

3,201,414

2 × 3 × 149 × 3581
Abundant Even Composite

3,201,414 is even and not a perfect square. Its factorization is 2 × 3 × 149 × 3581 and its 16 divisors sum to 6,447,600.

Prime Factor Structure

Factorization String 2 × 3 × 149 × 3581
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,447,600
Proper Divisor Sum 3,246,186
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3201409 ← → #3201421

Radix Representation

Decimal 3201414
Binary 1100001101100110000110 (22 bits)
Octal 0o14154606
Hexadecimal 0x30D986

Divisor Catalog (16)

1 2 3 6 149 298 447 894 3,581 7,162 10,743 21,486 533,569 1,067,138 1,600,707 3,201,414

Collatz Trajectory (120 steps to reach 1)

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

3,201,414 1,600,707 4,802,122 2,401,061 7,203,184 3,601,592 1,800,796 900,398 450,199 1,350,598 675,299 2,025,898 1,012,949 3,038,848 1,519,424 759,712 379,856 189,928 94,964 47,482 23,741 71,224 35,612 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400

More profiles

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