8,419,471

17 × 191 × 2593

Starting at 8,419,471, the Collatz iteration reaches 1 after 155 steps. The first transition is 25258414; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 191 × 2593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,964,864

Proper Divisor Sum 545,393

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8419469 ← → #8419511

Radix Representation

Decimal	8419471
Binary	100000000111100010001111 (24 bits)
Octal	0o40074217
Hexadecimal	0x80788F

Divisor Catalog (8)

1 17 191 2,593 3,247 44,081 495,263 8,419,471

Collatz Trajectory (155 steps to reach 1)

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

8,419,471 25,258,414 12,629,207 37,887,622 18,943,811 56,831,434 28,415,717 85,247,152 42,623,576 21,311,788 10,655,894 5,327,947 15,983,842 7,991,921 23,975,764 11,987,882 5,993,941 17,981,824 8,990,912 4,495,456 2,247,728 1,123,864 561,932 280,966 140,483 421,450 210,725 632,176 316,088 158,044 79,022 39,511 118,534 59,267 177,802 88,901 266,704 133,352 66,676 33,338 16,669 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903

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