λ
Integer Codex

2,993,374

2 × 19 × 37 × 2129
Deficient Even Composite

For 2,993,374, the 16 positive divisors have a total of 4,856,400. Removing 2,993,374 leaves 1,863,026, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 19 × 37 × 2129
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,856,400
Proper Divisor Sum 1,863,026
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2993371 ← → #2993399

Radix Representation

Decimal 2993374
Binary 1011011010110011011110 (22 bits)
Octal 0o13326336
Hexadecimal 0x2DACDE

Divisor Catalog (16)

1 2 19 37 38 74 703 1,406 2,129 4,258 40,451 78,773 80,902 157,546 1,496,687 2,993,374

Collatz Trajectory (169 steps to reach 1)

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

2,993,374 1,496,687 4,490,062 2,245,031 6,735,094 3,367,547 10,102,642 5,051,321 15,153,964 7,576,982 3,788,491 11,365,474 5,682,737 17,048,212 8,524,106 4,262,053 12,786,160 6,393,080 3,196,540 1,598,270 799,135 2,397,406 1,198,703 3,596,110 1,798,055 5,394,166 2,697,083 8,091,250 4,045,625 12,136,876 6,068,438 3,034,219 9,102,658 4,551,329 13,653,988 6,826,994 3,413,497 10,240,492 5,120,246 2,560,123 7,680,370 3,840,185 11,520,556 5,760,278 2,880,139 8,640,418 4,320,209 12,960,628 6,480,314 3,240,157 9,720,472 4,860,236 2,430,118 1,215,059 3,645,178 1,822,589 5,467,768 2,733,884 1,366,942 683,471

More profiles

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