8,455,225

5² × 41 × 73 × 113

Starting at 8,455,225, the Collatz iteration reaches 1 after 168 steps. The first transition is 25365676; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 41 × 73 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,983,672

Proper Divisor Sum 2,528,447

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8455217 ← → #8455241

Radix Representation

Decimal	8455225
Binary	100000010000010000111001 (24 bits)
Octal	0o40202071
Hexadecimal	0x810439

Divisor Catalog (24)

1 5 25 41 73 113 205 365 565 1,025 1,825 2,825 2,993 4,633 8,249 14,965 23,165 41,245 74,825 115,825 206,225 338,209 1,691,045 8,455,225

Collatz Trajectory (168 steps to reach 1)

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

8,455,225 25,365,676 12,682,838 6,341,419 19,024,258 9,512,129 28,536,388 14,268,194 7,134,097 21,402,292 10,701,146 5,350,573 16,051,720 8,025,860 4,012,930 2,006,465 6,019,396 3,009,698 1,504,849 4,514,548 2,257,274 1,128,637 3,385,912 1,692,956 846,478 423,239 1,269,718 634,859 1,904,578 952,289 2,856,868 1,428,434 714,217 2,142,652 1,071,326 535,663 1,606,990 803,495 2,410,486 1,205,243 3,615,730 1,807,865 5,423,596 2,711,798 1,355,899 4,067,698 2,033,849 6,101,548 3,050,774 1,525,387 4,576,162 2,288,081 6,864,244 3,432,122 1,716,061 5,148,184 2,574,092 1,287,046 643,523 1,930,570

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