179,493

3 × 19 × 47 × 67

Starting at 179,493, the Collatz iteration reaches 1 after 72 steps. The first transition is 538480; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 47 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 261,120

Proper Divisor Sum 81,627

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #179483 ← → #179497

Radix Representation

Decimal	179493
Binary	101011110100100101 (18 bits)
Octal	0o536445
Hexadecimal	0x2BD25

Divisor Catalog (16)

1 3 19 47 57 67 141 201 893 1,273 2,679 3,149 3,819 9,447 59,831 179,493

Collatz Trajectory (72 steps to reach 1)

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

179,493 538,480 269,240 134,620 67,310 33,655 100,966 50,483 151,450 75,725 227,176 113,588 56,794 28,397 85,192 42,596 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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