λ
Integer Codex

3,386,826

2 × 33 × 19 × 3301
Abundant Even Composite

For 3,386,826, the 32 positive divisors have a total of 7,924,800. Removing 3,386,826 leaves 4,537,974, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 3301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,924,800
Proper Divisor Sum 4,537,974
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3386813 ← → #3386839

Radix Representation

Decimal 3386826
Binary 1100111010110111001010 (22 bits)
Octal 0o14726712
Hexadecimal 0x33ADCA

Divisor Catalog (32)

1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1,026 3,301 6,602 9,903 19,806 29,709 59,418 62,719 89,127 125,438 178,254 188,157 376,314 564,471 1,128,942 1,693,413 3,386,826

Collatz Trajectory (146 steps to reach 1)

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

3,386,826 1,693,413 5,080,240 2,540,120 1,270,060 635,030 317,515 952,546 476,273 1,428,820 714,410 357,205 1,071,616 535,808 267,904 133,952 66,976 33,488 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

More profiles

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