λ
Harmonic Matrix

9,173,169

34 × 269 × 421
Deficient Odd Composite

9,173,169 has digital root 9. The neighboring primes are 9173161 and 9173173; its proper-divisor sum differs from the starting integer by -4,559,598.

Prime Factor Structure

Factorization String 3^4 × 269 × 421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,786,740
Proper Divisor Sum 4,613,571
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9173161 ← → #9173173

Radix Representation

Decimal 9173169
Binary 100010111111100010110001 (24 bits)
Octal 0o42774261
Hexadecimal 0x8BF8B1

Divisor Catalog (20)

1 3 9 27 81 269 421 807 1,263 2,421 3,789 7,263 11,367 21,789 34,101 113,249 339,747 1,019,241 3,057,723 9,173,169

Collatz Trajectory (150 steps to reach 1)

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

9,173,169 27,519,508 13,759,754 6,879,877 20,639,632 10,319,816 5,159,908 2,579,954 1,289,977 3,869,932 1,934,966 967,483 2,902,450 1,451,225 4,353,676 2,176,838 1,088,419 3,265,258 1,632,629 4,897,888 2,448,944 1,224,472 612,236 306,118 153,059 459,178 229,589 688,768 344,384 172,192 86,096 43,048 21,524 10,762 5,381 16,144 8,072 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274

More profiles

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