8,419,398

2 × 3 × 13 × 107941

Starting at 8,419,398, the Collatz iteration reaches 1 after 168 steps. The first transition is 4209699; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 107941

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,134,256

Proper Divisor Sum 9,714,858

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8419381 ← → #8419399

Radix Representation

Decimal	8419398
Binary	100000000111100001000110 (24 bits)
Octal	0o40074106
Hexadecimal	0x807846

Divisor Catalog (16)

1 2 3 6 13 26 39 78 107,941 215,882 323,823 647,646 1,403,233 2,806,466 4,209,699 8,419,398

Collatz Trajectory (168 steps to reach 1)

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

8,419,398 4,209,699 12,629,098 6,314,549 18,943,648 9,471,824 4,735,912 2,367,956 1,183,978 591,989 1,775,968 887,984 443,992 221,996 110,998 55,499 166,498 83,249 249,748 124,874 62,437 187,312 93,656 46,828 23,414 11,707 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

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