717,549

3 × 7 × 47 × 727

Starting at 717,549, the Collatz iteration reaches 1 after 123 steps. The first transition is 2152648; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 727

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,118,208

Proper Divisor Sum 400,659

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #717539 ← → #717551

Radix Representation

Decimal	717549
Binary	10101111001011101101 (20 bits)
Octal	0o2571355
Hexadecimal	0xAF2ED

Divisor Catalog (16)

1 3 7 21 47 141 329 727 987 2,181 5,089 15,267 34,169 102,507 239,183 717,549

Collatz Trajectory (123 steps to reach 1)

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

717,549 2,152,648 1,076,324 538,162 269,081 807,244 403,622 201,811 605,434 302,717 908,152 454,076 227,038 113,519 340,558 170,279 510,838 255,419 766,258 383,129 1,149,388 574,694 287,347 862,042 431,021 1,293,064 646,532 323,266 161,633 484,900 242,450 121,225 363,676 181,838 90,919 272,758 136,379 409,138 204,569 613,708 306,854 153,427 460,282 230,141 690,424 345,212 172,606 86,303 258,910 129,455 388,366 194,183 582,550 291,275 873,826 436,913 1,310,740 655,370 327,685 983,056

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