λ
Sigma Notebook

4,122,114

2 × 3 × 687019
Abundant Even Composite

4,122,114 is even and not a perfect square. Its factorization is 2 × 3 × 687019 and its 8 divisors sum to 8,244,240.

Prime Factor Structure

Factorization String 2 × 3 × 687019
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,244,240
Proper Divisor Sum 4,122,126
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4122103 ← → #4122119

Radix Representation

Decimal 4122114
Binary 1111101110011000000010 (22 bits)
Octal 0o17563002
Hexadecimal 0x3EE602

Divisor Catalog (8)

1 2 3 6 687,019 1,374,038 2,061,057 4,122,114

Collatz Trajectory (92 steps to reach 1)

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

4,122,114 2,061,057 6,183,172 3,091,586 1,545,793 4,637,380 2,318,690 1,159,345 3,478,036 1,739,018 869,509 2,608,528 1,304,264 652,132 326,066 163,033 489,100 244,550 122,275 366,826 183,413 550,240 275,120 137,560 68,780 34,390 17,195 51,586 25,793 77,380 38,690 19,345 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

More profiles

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