174,208

2⁷ × 1361

174,208 factors as 2^7 × 1361. Its 16 positive divisors give a proper-divisor sum of 173,102, so this integer is deficient. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^7 × 1361

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 347,310

Proper Divisor Sum 173,102

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #174197 ← → #174221

Radix Representation

Decimal	174208
Binary	101010100010000000 (18 bits)
Octal	0o524200
Hexadecimal	0x2A880

Divisor Catalog (16)

1 2 4 8 16 32 64 128 1,361 2,722 5,444 10,888 21,776 43,552 87,104 174,208

Collatz Trajectory (59 steps to reach 1)

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

174,208 87,104 43,552 21,776 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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