λ
Sequence Observatory

801,081

32 × 89009
Deficient Odd Composite

Starting at 801,081, the Collatz iteration reaches 1 after 100 steps. The first transition is 2403244; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 89009
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,157,130
Proper Divisor Sum 356,049
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #801079 ← → #801103

Radix Representation

Decimal 801081
Binary 11000011100100111001 (20 bits)
Octal 0o3034471
Hexadecimal 0xC3939

Divisor Catalog (6)

1 3 9 89,009 267,027 801,081

Collatz Trajectory (100 steps to reach 1)

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

801,081 2,403,244 1,201,622 600,811 1,802,434 901,217 2,703,652 1,351,826 675,913 2,027,740 1,013,870 506,935 1,520,806 760,403 2,281,210 1,140,605 3,421,816 1,710,908 855,454 427,727 1,283,182 641,591 1,924,774 962,387 2,887,162 1,443,581 4,330,744 2,165,372 1,082,686 541,343 1,624,030 812,015 2,436,046 1,218,023 3,654,070 1,827,035 5,481,106 2,740,553 8,221,660 4,110,830 2,055,415 6,166,246 3,083,123 9,249,370 4,624,685 13,874,056 6,937,028 3,468,514 1,734,257 5,202,772 2,601,386 1,300,693 3,902,080 1,951,040 975,520 487,760 243,880 121,940 60,970 30,485

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