λ
Sequence Observatory

4,412,196

22 × 32 × 122561
Abundant Even Composite

Starting at 4,412,196, the Collatz iteration reaches 1 after 87 steps. The first transition is 2206098; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 122561
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 11,153,142
Proper Divisor Sum 6,740,946
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4412189 ← → #4412201

Radix Representation

Decimal 4412196
Binary 10000110101001100100100 (23 bits)
Octal 0o20651444
Hexadecimal 0x435324

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 122,561 245,122 367,683 490,244 735,366 1,103,049 1,470,732 2,206,098 4,412,196

Collatz Trajectory (87 steps to reach 1)

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

4,412,196 2,206,098 1,103,049 3,309,148 1,654,574 827,287 2,481,862 1,240,931 3,722,794 1,861,397 5,584,192 2,792,096 1,396,048 698,024 349,012 174,506 87,253 261,760 130,880 65,440 32,720 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130

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