168,465

3 × 5 × 11 × 1021

168,465 factors as 3 × 5 × 11 × 1021. Its 16 positive divisors give a proper-divisor sum of 125,871, so this integer is deficient. The Collatz stopping time is 46 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 1021

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 294,336

Proper Divisor Sum 125,871

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #168463 ← → #168481

Radix Representation

Decimal	168465
Binary	101001001000010001 (18 bits)
Octal	0o511021
Hexadecimal	0x29211

Divisor Catalog (16)

1 3 5 11 15 33 55 165 1,021 3,063 5,105 11,231 15,315 33,693 56,155 168,465

Collatz Trajectory (46 steps to reach 1)

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

168,465 505,396 252,698 126,349 379,048 189,524 94,762 47,381 142,144 71,072 35,536 17,768 8,884 4,442 2,221 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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