660,959

13² × 3911

Starting at 660,959, the Collatz iteration reaches 1 after 123 steps. The first transition is 1982878; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 3911

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 715,896

Proper Divisor Sum 54,937

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #660949 ← → #660973

Radix Representation

Decimal	660959
Binary	10100001010111011111 (20 bits)
Octal	0o2412737
Hexadecimal	0xA15DF

Divisor Catalog (6)

1 13 169 3,911 50,843 660,959

Collatz Trajectory (123 steps to reach 1)

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

660,959 1,982,878 991,439 2,974,318 1,487,159 4,461,478 2,230,739 6,692,218 3,346,109 10,038,328 5,019,164 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384 3,176,192 1,588,096 794,048 397,024 198,512 99,256 49,628 24,814 12,407 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198

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