8,519,375

5⁴ × 43 × 317

Starting at 8,519,375, the Collatz iteration reaches 1 after 336 steps. The first transition is 25558126; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 5^4 × 43 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,927,752

Proper Divisor Sum 2,408,377

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8519351 ← → #8519377

Radix Representation

Decimal	8519375
Binary	100000011111111011001111 (24 bits)
Octal	0o40377317
Hexadecimal	0x81FECF

Divisor Catalog (20)

1 5 25 43 125 215 317 625 1,075 1,585 5,375 7,925 13,631 26,875 39,625 68,155 198,125 340,775 1,703,875 8,519,375

Collatz Trajectory (336 steps to reach 1)

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

8,519,375 25,558,126 12,779,063 38,337,190 19,168,595 57,505,786 28,752,893 86,258,680 43,129,340 21,564,670 10,782,335 32,347,006 16,173,503 48,520,510 24,260,255 72,780,766 36,390,383 109,171,150 54,585,575 163,756,726 81,878,363 245,635,090 122,817,545 368,452,636 184,226,318 92,113,159 276,339,478 138,169,739 414,509,218 207,254,609 621,763,828 310,881,914 155,440,957 466,322,872 233,161,436 116,580,718 58,290,359 174,871,078 87,435,539 262,306,618 131,153,309 393,459,928 196,729,964 98,364,982 49,182,491 147,547,474 73,773,737 221,321,212 110,660,606 55,330,303 165,990,910 82,995,455 248,986,366 124,493,183 373,479,550 186,739,775 560,219,326 280,109,663 840,328,990 420,164,495

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