λ
Sequence Observatory

4,421,190

2 × 3 × 5 × 17 × 8669
Abundant Even Composite

Starting at 4,421,190, the Collatz iteration reaches 1 after 136 steps. The first transition is 2210595; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 8669
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,236,320
Proper Divisor Sum 6,815,130
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4421177 ← → #4421201

Radix Representation

Decimal 4421190
Binary 10000110111011001000110 (23 bits)
Octal 0o20673106
Hexadecimal 0x437646

Divisor Catalog (32)

1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 8,669 17,338 26,007 43,345 52,014 86,690 130,035 147,373 260,070 294,746 442,119 736,865 884,238 1,473,730 2,210,595 4,421,190

Collatz Trajectory (136 steps to reach 1)

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

4,421,190 2,210,595 6,631,786 3,315,893 9,947,680 4,973,840 2,486,920 1,243,460 621,730 310,865 932,596 466,298 233,149 699,448 349,724 174,862 87,431 262,294 131,147 393,442 196,721 590,164 295,082 147,541 442,624 221,312 110,656 55,328 27,664 13,832 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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