λ
Sequence Observatory

2,101,870

2 × 5 × 210187
Deficient Even Composite

Starting at 2,101,870, the Collatz iteration reaches 1 after 104 steps. The first transition is 1050935; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 210187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,783,384
Proper Divisor Sum 1,681,514
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2101867 ← → #2101871

Radix Representation

Decimal 2101870
Binary 1000000001001001101110 (22 bits)
Octal 0o10011156
Hexadecimal 0x20126E

Divisor Catalog (8)

1 2 5 10 210,187 420,374 1,050,935 2,101,870

Collatz Trajectory (104 steps to reach 1)

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

2,101,870 1,050,935 3,152,806 1,576,403 4,729,210 2,364,605 7,093,816 3,546,908 1,773,454 886,727 2,660,182 1,330,091 3,990,274 1,995,137 5,985,412 2,992,706 1,496,353 4,489,060 2,244,530 1,122,265 3,366,796 1,683,398 841,699 2,525,098 1,262,549 3,787,648 1,893,824 946,912 473,456 236,728 118,364 59,182 29,591 88,774 44,387 133,162 66,581 199,744 99,872 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371

More profiles

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