λ
Sequence Observatory

8,687,882

2 × 7 × 23 × 26981
Deficient Even Composite

Starting at 8,687,882, the Collatz iteration reaches 1 after 106 steps. The first transition is 4343941; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 26981
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,541,632
Proper Divisor Sum 6,853,750
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8687881 ← → #8687891

Radix Representation

Decimal 8687882
Binary 100001001001000100001010 (24 bits)
Octal 0o41110412
Hexadecimal 0x84910A

Divisor Catalog (16)

1 2 7 14 23 46 161 322 26,981 53,962 188,867 377,734 620,563 1,241,126 4,343,941 8,687,882

Collatz Trajectory (106 steps to reach 1)

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

8,687,882 4,343,941 13,031,824 6,515,912 3,257,956 1,628,978 814,489 2,443,468 1,221,734 610,867 1,832,602 916,301 2,748,904 1,374,452 687,226 343,613 1,030,840 515,420 257,710 128,855 386,566 193,283 579,850 289,925 869,776 434,888 217,444 108,722 54,361 163,084 81,542 40,771 122,314 61,157 183,472 91,736 45,868 22,934 11,467 34,402 17,201 51,604 25,802 12,901 38,704 19,352 9,676 4,838 2,419 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532

More profiles

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