λ
Harmonic Matrix

225,985

5 × 45197
Deficient Odd Composite

225,985 has digital root 4. The neighboring primes are 225983 and 225989; its proper-divisor sum differs from the starting integer by -180,782.

Prime Factor Structure

Factorization String 5 × 45197
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 271,188
Proper Divisor Sum 45,203
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #225983 ← → #225989

Radix Representation

Decimal 225985
Binary 110111001011000001 (18 bits)
Octal 0o671301
Hexadecimal 0x372C1

Divisor Catalog (4)

1 5 45,197 225,985

Collatz Trajectory (62 steps to reach 1)

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

225,985 677,956 338,978 169,489 508,468 254,234 127,117 381,352 190,676 95,338 47,669 143,008 71,504 35,752 17,876 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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