λ
Sequence Observatory

1,891,112

23 × 97 × 2437
Deficient Even Composite

Starting at 1,891,112, the Collatz iteration reaches 1 after 78 steps. The first transition is 945556; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 97 × 2437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,583,860
Proper Divisor Sum 1,692,748
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1891111 ← → #1891133

Radix Representation

Decimal 1891112
Binary 111001101101100101000 (21 bits)
Octal 0o7155450
Hexadecimal 0x1CDB28

Divisor Catalog (16)

1 2 4 8 97 194 388 776 2,437 4,874 9,748 19,496 236,389 472,778 945,556 1,891,112

Collatz Trajectory (78 steps to reach 1)

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

1,891,112 945,556 472,778 236,389 709,168 354,584 177,292 88,646 44,323 132,970 66,485 199,456 99,728 49,864 24,932 12,466 6,233 18,700 9,350 4,675 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58

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