λ
Sequence Observatory

818,765

5 × 163753
Deficient Odd Composite

Starting at 818,765, the Collatz iteration reaches 1 after 113 steps. The first transition is 2456296; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 163753
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 982,524
Proper Divisor Sum 163,759
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #818723 ← → #818813

Radix Representation

Decimal 818765
Binary 11000111111001001101 (20 bits)
Octal 0o3077115
Hexadecimal 0xC7E4D

Divisor Catalog (4)

1 5 163,753 818,765

Collatz Trajectory (113 steps to reach 1)

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

818,765 2,456,296 1,228,148 614,074 307,037 921,112 460,556 230,278 115,139 345,418 172,709 518,128 259,064 129,532 64,766 32,383 97,150 48,575 145,726 72,863 218,590 109,295 327,886 163,943 491,830 245,915 737,746 368,873 1,106,620 553,310 276,655 829,966 414,983 1,244,950 622,475 1,867,426 933,713 2,801,140 1,400,570 700,285 2,100,856 1,050,428 525,214 262,607 787,822 393,911 1,181,734 590,867 1,772,602 886,301 2,658,904 1,329,452 664,726 332,363 997,090 498,545 1,495,636 747,818 373,909 1,121,728

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