λ
Harmonic Matrix

22,388

22 × 29 × 193
Deficient Even Composite

22,388 has digital root 5. The neighboring primes are 22381 and 22391; its proper-divisor sum differs from the starting integer by -4,036.

Prime Factor Structure

Factorization String 2^2 × 29 × 193
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 40,740
Proper Divisor Sum 18,352
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #22381 ← → #22391

Radix Representation

Decimal 22388
Binary 101011101110100 (15 bits)
Octal 0o53564
Hexadecimal 0x5774

Divisor Catalog (12)

1 2 4 29 58 116 193 386 772 5,597 11,194 22,388

Collatz Trajectory (69 steps to reach 1)

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

22,388 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

More profiles

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