171,960

2³ × 3 × 5 × 1433

171,960 factors as 2^3 × 3 × 5 × 1433. Its 32 positive divisors give a proper-divisor sum of 344,280, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 1433

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 516,240

Proper Divisor Sum 344,280

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #171947 ← → #172001

Radix Representation

Decimal	171960
Binary	101001111110111000 (18 bits)
Octal	0o517670
Hexadecimal	0x29FB8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1,433 2,866 4,299 5,732 7,165 8,598 11,464 14,330 17,196 21,495 28,660 34,392 42,990 57,320 85,980 171,960

Collatz Trajectory (103 steps to reach 1)

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

171,960 85,980 42,990 21,495 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364

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