λ
Sequence Observatory

4,123,218

2 × 3 × 11 × 62473
Abundant Even Composite

Starting at 4,123,218, the Collatz iteration reaches 1 after 167 steps. The first transition is 2061609; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 62473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,996,256
Proper Divisor Sum 4,873,038
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4123211 ← → #4123253

Radix Representation

Decimal 4123218
Binary 1111101110101001010010 (22 bits)
Octal 0o17565122
Hexadecimal 0x3EEA52

Divisor Catalog (16)

1 2 3 6 11 22 33 66 62,473 124,946 187,419 374,838 687,203 1,374,406 2,061,609 4,123,218

Collatz Trajectory (167 steps to reach 1)

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

4,123,218 2,061,609 6,184,828 3,092,414 1,546,207 4,638,622 2,319,311 6,957,934 3,478,967 10,436,902 5,218,451 15,655,354 7,827,677 23,483,032 11,741,516 5,870,758 2,935,379 8,806,138 4,403,069 13,209,208 6,604,604 3,302,302 1,651,151 4,953,454 2,476,727 7,430,182 3,715,091 11,145,274 5,572,637 16,717,912 8,358,956 4,179,478 2,089,739 6,269,218 3,134,609 9,403,828 4,701,914 2,350,957 7,052,872 3,526,436 1,763,218 881,609 2,644,828 1,322,414 661,207 1,983,622 991,811 2,975,434 1,487,717 4,463,152 2,231,576 1,115,788 557,894 278,947 836,842 418,421 1,255,264 627,632 313,816 156,908

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