λ
Sequence Observatory

1,644,222

2 × 3 × 19 × 14423
Abundant Even Composite

Starting at 1,644,222, the Collatz iteration reaches 1 after 114 steps. The first transition is 822111; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 14423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,461,760
Proper Divisor Sum 1,817,538
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1644221 ← → #1644229

Radix Representation

Decimal 1644222
Binary 110010001011010111110 (21 bits)
Octal 0o6213276
Hexadecimal 0x1916BE

Divisor Catalog (16)

1 2 3 6 19 38 57 114 14,423 28,846 43,269 86,538 274,037 548,074 822,111 1,644,222

Collatz Trajectory (114 steps to reach 1)

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

1,644,222 822,111 2,466,334 1,233,167 3,699,502 1,849,751 5,549,254 2,774,627 8,323,882 4,161,941 12,485,824 6,242,912 3,121,456 1,560,728 780,364 390,182 195,091 585,274 292,637 877,912 438,956 219,478 109,739 329,218 164,609 493,828 246,914 123,457 370,372 185,186 92,593 277,780 138,890 69,445 208,336 104,168 52,084 26,042 13,021 39,064 19,532 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739

More profiles

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