λ
Sequence Observatory

2,108,856

23 × 3 × 87869
Abundant Even Composite

Starting at 2,108,856, the Collatz iteration reaches 1 after 104 steps. The first transition is 1054428; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 87869
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,272,200
Proper Divisor Sum 3,163,344
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2108839 ← → #2108857

Radix Representation

Decimal 2108856
Binary 1000000010110110111000 (22 bits)
Octal 0o10026670
Hexadecimal 0x202DB8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 87,869 175,738 263,607 351,476 527,214 702,952 1,054,428 2,108,856

Collatz Trajectory (104 steps to reach 1)

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

2,108,856 1,054,428 527,214 263,607 790,822 395,411 1,186,234 593,117 1,779,352 889,676 444,838 222,419 667,258 333,629 1,000,888 500,444 250,222 125,111 375,334 187,667 563,002 281,501 844,504 422,252 211,126 105,563 316,690 158,345 475,036 237,518 118,759 356,278 178,139 534,418 267,209 801,628 400,814 200,407 601,222 300,611 901,834 450,917 1,352,752 676,376 338,188 169,094 84,547 253,642 126,821 380,464 190,232 95,116 47,558 23,779 71,338 35,669 107,008 53,504 26,752 13,376

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