λ
Sequence Observatory

8,742,644

22 × 2185661
Deficient Even Composite

Starting at 8,742,644, the Collatz iteration reaches 1 after 212 steps. The first transition is 4371322; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 2185661
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 15,299,634
Proper Divisor Sum 6,556,990
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8742637 ← → #8742653

Radix Representation

Decimal 8742644
Binary 100001010110011011110100 (24 bits)
Octal 0o41263364
Hexadecimal 0x8566F4

Divisor Catalog (6)

1 2 4 2,185,661 4,371,322 8,742,644

Collatz Trajectory (212 steps to reach 1)

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

8,742,644 4,371,322 2,185,661 6,556,984 3,278,492 1,639,246 819,623 2,458,870 1,229,435 3,688,306 1,844,153 5,532,460 2,766,230 1,383,115 4,149,346 2,074,673 6,224,020 3,112,010 1,556,005 4,668,016 2,334,008 1,167,004 583,502 291,751 875,254 437,627 1,312,882 656,441 1,969,324 984,662 492,331 1,476,994 738,497 2,215,492 1,107,746 553,873 1,661,620 830,810 415,405 1,246,216 623,108 311,554 155,777 467,332 233,666 116,833 350,500 175,250 87,625 262,876 131,438 65,719 197,158 98,579 295,738 147,869 443,608 221,804 110,902 55,451

More profiles

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