177,906

2 × 3 × 149 × 199

177,906 factors as 2 × 3 × 149 × 199. Its 16 positive divisors give a proper-divisor sum of 182,094, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 3 × 149 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 360,000

Proper Divisor Sum 182,094

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #177893 ← → #177907

Radix Representation

Decimal	177906
Binary	101011011011110010 (18 bits)
Octal	0o533362
Hexadecimal	0x2B6F2

Divisor Catalog (16)

1 2 3 6 149 199 298 398 447 597 894 1,194 29,651 59,302 88,953 177,906

Collatz Trajectory (95 steps to reach 1)

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

177,906 88,953 266,860 133,430 66,715 200,146 100,073 300,220 150,110 75,055 225,166 112,583 337,750 168,875 506,626 253,313 759,940 379,970 189,985 569,956 284,978 142,489 427,468 213,734 106,867 320,602 160,301 480,904 240,452 120,226 60,113 180,340 90,170 45,085 135,256 67,628 33,814 16,907 50,722 25,361 76,084 38,042 19,021 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129

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