1,747,179

3² × 7 × 27733

Starting at 1,747,179, the Collatz iteration reaches 1 after 176 steps. The first transition is 5241538; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 27733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,884,336

Proper Divisor Sum 1,137,157

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1747171 ← → #1747181

Radix Representation

Decimal	1747179
Binary	110101010100011101011 (21 bits)
Octal	0o6524353
Hexadecimal	0x1AA8EB

Divisor Catalog (12)

1 3 7 9 21 63 27,733 83,199 194,131 249,597 582,393 1,747,179

Collatz Trajectory (176 steps to reach 1)

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

1,747,179 5,241,538 2,620,769 7,862,308 3,931,154 1,965,577 5,896,732 2,948,366 1,474,183 4,422,550 2,211,275 6,633,826 3,316,913 9,950,740 4,975,370 2,487,685 7,463,056 3,731,528 1,865,764 932,882 466,441 1,399,324 699,662 349,831 1,049,494 524,747 1,574,242 787,121 2,361,364 1,180,682 590,341 1,771,024 885,512 442,756 221,378 110,689 332,068 166,034 83,017 249,052 124,526 62,263 186,790 93,395 280,186 140,093 420,280 210,140 105,070 52,535 157,606 78,803 236,410 118,205 354,616 177,308 88,654 44,327 132,982 66,491

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