λ
Sequence Observatory

8,026,442

2 × 293 × 13697
Deficient Even Composite

Starting at 8,026,442, the Collatz iteration reaches 1 after 137 steps. The first transition is 4013221; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 293 × 13697
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,081,636
Proper Divisor Sum 4,055,194
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8026429 ← → #8026451

Radix Representation

Decimal 8026442
Binary 11110100111100101001010 (23 bits)
Octal 0o36474512
Hexadecimal 0x7A794A

Divisor Catalog (8)

1 2 293 586 13,697 27,394 4,013,221 8,026,442

Collatz Trajectory (137 steps to reach 1)

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

8,026,442 4,013,221 12,039,664 6,019,832 3,009,916 1,504,958 752,479 2,257,438 1,128,719 3,386,158 1,693,079 5,079,238 2,539,619 7,618,858 3,809,429 11,428,288 5,714,144 2,857,072 1,428,536 714,268 357,134 178,567 535,702 267,851 803,554 401,777 1,205,332 602,666 301,333 904,000 452,000 226,000 113,000 56,500 28,250 14,125 42,376 21,188 10,594 5,297 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417

More profiles

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