λ
Harmonic Matrix

58,022

2 × 67 × 433
Deficient Even Composite

58,022 has digital root 8. The neighboring primes are 58013 and 58027; its proper-divisor sum differs from the starting integer by -27,508.

Prime Factor Structure

Factorization String 2 × 67 × 433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 88,536
Proper Divisor Sum 30,514
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #58013 ← → #58027

Radix Representation

Decimal 58022
Binary 1110001010100110 (16 bits)
Octal 0o161246
Hexadecimal 0xE2A6

Divisor Catalog (8)

1 2 67 134 433 866 29,011 58,022

Collatz Trajectory (135 steps to reach 1)

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

58,022 29,011 87,034 43,517 130,552 65,276 32,638 16,319 48,958 24,479 73,438 36,719 110,158 55,079 165,238 82,619 247,858 123,929 371,788 185,894 92,947 278,842 139,421 418,264 209,132 104,566 52,283 156,850 78,425 235,276 117,638 58,819 176,458 88,229 264,688 132,344 66,172 33,086 16,543 49,630 24,815 74,446 37,223 111,670 55,835 167,506 83,753 251,260 125,630 62,815 188,446 94,223 282,670 141,335 424,006 212,003 636,010 318,005 954,016 477,008

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