λ
Sequence Observatory

1,719,982

2 × 11 × 37 × 2113
Deficient Even Composite

Starting at 1,719,982, the Collatz iteration reaches 1 after 189 steps. The first transition is 859991; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 2113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,891,952
Proper Divisor Sum 1,171,970
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1719967 ← → #1719983

Radix Representation

Decimal 1719982
Binary 110100011111010101110 (21 bits)
Octal 0o6437256
Hexadecimal 0x1A3EAE

Divisor Catalog (16)

1 2 11 22 37 74 407 814 2,113 4,226 23,243 46,486 78,181 156,362 859,991 1,719,982

Collatz Trajectory (189 steps to reach 1)

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

1,719,982 859,991 2,579,974 1,289,987 3,869,962 1,934,981 5,804,944 2,902,472 1,451,236 725,618 362,809 1,088,428 544,214 272,107 816,322 408,161 1,224,484 612,242 306,121 918,364 459,182 229,591 688,774 344,387 1,033,162 516,581 1,549,744 774,872 387,436 193,718 96,859 290,578 145,289 435,868 217,934 108,967 326,902 163,451 490,354 245,177 735,532 367,766 183,883 551,650 275,825 827,476 413,738 206,869 620,608 310,304 155,152 77,576 38,788 19,394 9,697 29,092 14,546 7,273 21,820 10,910

More profiles

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