660,821

7 × 67 × 1409

Starting at 660,821, the Collatz iteration reaches 1 after 110 steps. The first transition is 1982464; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 67 × 1409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 767,040

Proper Divisor Sum 106,219

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #660817 ← → #660833

Radix Representation

Decimal	660821
Binary	10100001010101010101 (20 bits)
Octal	0o2412525
Hexadecimal	0xA1555

Divisor Catalog (8)

1 7 67 469 1,409 9,863 94,403 660,821

Collatz Trajectory (110 steps to reach 1)

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

660,821 1,982,464 991,232 495,616 247,808 123,904 61,952 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

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