λ
Sequence Observatory

1,835,196

22 × 3 × 11 × 13903
Abundant Even Composite

Starting at 1,835,196, the Collatz iteration reaches 1 after 176 steps. The first transition is 917598; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 13903
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,671,744
Proper Divisor Sum 2,836,548
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1835189 ← → #1835227

Radix Representation

Decimal 1835196
Binary 111000000000010111100 (21 bits)
Octal 0o7000274
Hexadecimal 0x1C00BC

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 13,903 27,806 41,709 55,612 83,418 152,933 166,836 305,866 458,799 611,732 917,598 1,835,196

Collatz Trajectory (176 steps to reach 1)

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

1,835,196 917,598 458,799 1,376,398 688,199 2,064,598 1,032,299 3,096,898 1,548,449 4,645,348 2,322,674 1,161,337 3,484,012 1,742,006 871,003 2,613,010 1,306,505 3,919,516 1,959,758 979,879 2,939,638 1,469,819 4,409,458 2,204,729 6,614,188 3,307,094 1,653,547 4,960,642 2,480,321 7,440,964 3,720,482 1,860,241 5,580,724 2,790,362 1,395,181 4,185,544 2,092,772 1,046,386 523,193 1,569,580 784,790 392,395 1,177,186 588,593 1,765,780 882,890 441,445 1,324,336 662,168 331,084 165,542 82,771 248,314 124,157 372,472 186,236 93,118 46,559 139,678 69,839

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