8,410,342

2 × 17 × 247363

Starting at 8,410,342, the Collatz iteration reaches 1 after 181 steps. The first transition is 4205171; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 247363

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,357,656

Proper Divisor Sum 4,947,314

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8410313 ← → #8410343

Radix Representation

Decimal	8410342
Binary	100000000101010011100110 (24 bits)
Octal	0o40052346
Hexadecimal	0x8054E6

Divisor Catalog (8)

1 2 17 34 247,363 494,726 4,205,171 8,410,342

Collatz Trajectory (181 steps to reach 1)

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

8,410,342 4,205,171 12,615,514 6,307,757 18,923,272 9,461,636 4,730,818 2,365,409 7,096,228 3,548,114 1,774,057 5,322,172 2,661,086 1,330,543 3,991,630 1,995,815 5,987,446 2,993,723 8,981,170 4,490,585 13,471,756 6,735,878 3,367,939 10,103,818 5,051,909 15,155,728 7,577,864 3,788,932 1,894,466 947,233 2,841,700 1,420,850 710,425 2,131,276 1,065,638 532,819 1,598,458 799,229 2,397,688 1,198,844 599,422 299,711 899,134 449,567 1,348,702 674,351 2,023,054 1,011,527 3,034,582 1,517,291 4,551,874 2,275,937 6,827,812 3,413,906 1,706,953 5,120,860 2,560,430 1,280,215 3,840,646 1,920,323

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