λ
Sigma Notebook

95,192

23 × 73 × 163
Deficient Even Composite

95,192 is even and not a perfect square. Its factorization is 2^3 × 73 × 163 and its 16 divisors sum to 182,040.

Prime Factor Structure

Factorization String 2^3 × 73 × 163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 182,040
Proper Divisor Sum 86,848
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #95191 ← → #95203

Radix Representation

Decimal 95192
Binary 10111001111011000 (17 bits)
Octal 0o271730
Hexadecimal 0x173D8

Divisor Catalog (16)

1 2 4 8 73 146 163 292 326 584 652 1,304 11,899 23,798 47,596 95,192

Collatz Trajectory (146 steps to reach 1)

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

95,192 47,596 23,798 11,899 35,698 17,849 53,548 26,774 13,387 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103

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