λ
Sequence Observatory

691,599

3 × 269 × 857
Deficient Odd Composite

Starting at 691,599, the Collatz iteration reaches 1 after 74 steps. The first transition is 2074798; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 269 × 857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 926,640
Proper Divisor Sum 235,041
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #691591 ← → #691631

Radix Representation

Decimal 691599
Binary 10101000110110001111 (20 bits)
Octal 0o2506617
Hexadecimal 0xA8D8F

Divisor Catalog (8)

1 3 269 807 857 2,571 230,533 691,599

Collatz Trajectory (74 steps to reach 1)

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

691,599 2,074,798 1,037,399 3,112,198 1,556,099 4,668,298 2,334,149 7,002,448 3,501,224 1,750,612 875,306 437,653 1,312,960 656,480 328,240 164,120 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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