λ
Sequence Observatory

2,268,343

7 × 11 × 89 × 331
Deficient Odd Composite

Starting at 2,268,343, the Collatz iteration reaches 1 after 86 steps. The first transition is 6805030; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 89 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,868,480
Proper Divisor Sum 600,137
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2268337 ← → #2268377

Radix Representation

Decimal 2268343
Binary 1000101001110010110111 (22 bits)
Octal 0o10516267
Hexadecimal 0x229CB7

Divisor Catalog (16)

1 7 11 77 89 331 623 979 2,317 3,641 6,853 25,487 29,459 206,213 324,049 2,268,343

Collatz Trajectory (86 steps to reach 1)

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

2,268,343 6,805,030 3,402,515 10,207,546 5,103,773 15,311,320 7,655,660 3,827,830 1,913,915 5,741,746 2,870,873 8,612,620 4,306,310 2,153,155 6,459,466 3,229,733 9,689,200 4,844,600 2,422,300 1,211,150 605,575 1,816,726 908,363 2,725,090 1,362,545 4,087,636 2,043,818 1,021,909 3,065,728 1,532,864 766,432 383,216 191,608 95,804 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400

More profiles

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