λ
Sigma Notebook

2,078,388

22 × 32 × 13 × 4441
Abundant Even Composite

2,078,388 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 13 × 4441 and its 36 divisors sum to 5,659,108.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 4441
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,659,108
Proper Divisor Sum 3,580,720
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2078371 ← → #2078389

Radix Representation

Decimal 2078388
Binary 111111011011010110100 (21 bits)
Octal 0o7733264
Hexadecimal 0x1FB6B4

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4,441 8,882 13,323 17,764 26,646 39,969 53,292 57,733 79,938 115,466 159,876 173,199 230,932 346,398 519,597 692,796 1,039,194 2,078,388

Collatz Trajectory (73 steps to reach 1)

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

2,078,388 1,039,194 519,597 1,558,792 779,396 389,698 194,849 584,548 292,274 146,137 438,412 219,206 109,603 328,810 164,405 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

More profiles

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