λ
Sequence Observatory

855,745

5 × 11 × 15559
Deficient Odd Composite

Starting at 855,745, the Collatz iteration reaches 1 after 325 steps. The first transition is 2567236; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 15559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,120,320
Proper Divisor Sum 264,575
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #855739 ← → #855781

Radix Representation

Decimal 855745
Binary 11010000111011000001 (20 bits)
Octal 0o3207301
Hexadecimal 0xD0EC1

Divisor Catalog (8)

1 5 11 55 15,559 77,795 171,149 855,745

Collatz Trajectory (325 steps to reach 1)

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

855,745 2,567,236 1,283,618 641,809 1,925,428 962,714 481,357 1,444,072 722,036 361,018 180,509 541,528 270,764 135,382 67,691 203,074 101,537 304,612 152,306 76,153 228,460 114,230 57,115 171,346 85,673 257,020 128,510 64,255 192,766 96,383 289,150 144,575 433,726 216,863 650,590 325,295 975,886 487,943 1,463,830 731,915 2,195,746 1,097,873 3,293,620 1,646,810 823,405 2,470,216 1,235,108 617,554 308,777 926,332 463,166 231,583 694,750 347,375 1,042,126 521,063 1,563,190 781,595 2,344,786 1,172,393

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