248,225

5² × 9929

Starting at 248,225, the Collatz iteration reaches 1 after 119 steps. The first transition is 744676; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 9929

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 307,830

Proper Divisor Sum 59,605

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #248203 ← → #248231

Radix Representation

Decimal	248225
Binary	111100100110100001 (18 bits)
Octal	0o744641
Hexadecimal	0x3C9A1

Divisor Catalog (6)

1 5 25 9,929 49,645 248,225

Collatz Trajectory (119 steps to reach 1)

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

248,225 744,676 372,338 186,169 558,508 279,254 139,627 418,882 209,441 628,324 314,162 157,081 471,244 235,622 117,811 353,434 176,717 530,152 265,076 132,538 66,269 198,808 99,404 49,702 24,851 74,554 37,277 111,832 55,916 27,958 13,979 41,938 20,969 62,908 31,454 15,727 47,182 23,591 70,774 35,387 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449

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