λ
Sigma Notebook

164,936

23 × 53 × 389
Deficient Even Composite

164,936 is even and not a perfect square. Its factorization is 2^3 × 53 × 389 and its 16 divisors sum to 315,900.

Prime Factor Structure

Factorization String 2^3 × 53 × 389
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 315,900
Proper Divisor Sum 150,964
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #164911 ← → #164953

Radix Representation

Decimal 164936
Binary 101000010001001000 (18 bits)
Octal 0o502110
Hexadecimal 0x28448

Divisor Catalog (16)

1 2 4 8 53 106 212 389 424 778 1,556 3,112 20,617 41,234 82,468 164,936

Collatz Trajectory (139 steps to reach 1)

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

164,936 82,468 41,234 20,617 61,852 30,926 15,463 46,390 23,195 69,586 34,793 104,380 52,190 26,095 78,286 39,143 117,430 58,715 176,146 88,073 264,220 132,110 66,055 198,166 99,083 297,250 148,625 445,876 222,938 111,469 334,408 167,204 83,602 41,801 125,404 62,702 31,351 94,054 47,027 141,082 70,541 211,624 105,812 52,906 26,453 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175

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