λ
Sequence Observatory

2,189,004

22 × 3 × 182417
Abundant Even Composite

Starting at 2,189,004, the Collatz iteration reaches 1 after 179 steps. The first transition is 1094502; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 182417
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,107,704
Proper Divisor Sum 2,918,700
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2188993 ← → #2189017

Radix Representation

Decimal 2189004
Binary 1000010110011011001100 (22 bits)
Octal 0o10263314
Hexadecimal 0x2166CC

Divisor Catalog (12)

1 2 3 4 6 12 182,417 364,834 547,251 729,668 1,094,502 2,189,004

Collatz Trajectory (179 steps to reach 1)

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

2,189,004 1,094,502 547,251 1,641,754 820,877 2,462,632 1,231,316 615,658 307,829 923,488 461,744 230,872 115,436 57,718 28,859 86,578 43,289 129,868 64,934 32,467 97,402 48,701 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320

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