8,230,940

2² × 5 × 443 × 929

Starting at 8,230,940, the Collatz iteration reaches 1 after 111 steps. The first transition is 4115470; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 443 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,342,640

Proper Divisor Sum 9,111,700

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8230891 ← → #8230949

Radix Representation

Decimal	8230940
Binary	11111011001100000011100 (23 bits)
Octal	0o37314034
Hexadecimal	0x7D981C

Divisor Catalog (24)

1 2 4 5 10 20 443 886 929 1,772 1,858 2,215 3,716 4,430 4,645 8,860 9,290 18,580 411,547 823,094 1,646,188 2,057,735 4,115,470 8,230,940

Collatz Trajectory (111 steps to reach 1)

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

8,230,940 4,115,470 2,057,735 6,173,206 3,086,603 9,259,810 4,629,905 13,889,716 6,944,858 3,472,429 10,417,288 5,208,644 2,604,322 1,302,161 3,906,484 1,953,242 976,621 2,929,864 1,464,932 732,466 366,233 1,098,700 549,350 274,675 824,026 412,013 1,236,040 618,020 309,010 154,505 463,516 231,758 115,879 347,638 173,819 521,458 260,729 782,188 391,094 195,547 586,642 293,321 879,964 439,982 219,991 659,974 329,987 989,962 494,981 1,484,944 742,472 371,236 185,618 92,809 278,428 139,214 69,607 208,822 104,411 313,234

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