248,478

2 × 3 × 41413

Starting at 248,478, the Collatz iteration reaches 1 after 119 steps. The first transition is 124239; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 41413

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 496,968

Proper Divisor Sum 248,490

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #248477 ← → #248483

Radix Representation

Decimal	248478
Binary	111100101010011110 (18 bits)
Octal	0o745236
Hexadecimal	0x3CA9E

Divisor Catalog (8)

1 2 3 6 41,413 82,826 124,239 248,478

Collatz Trajectory (119 steps to reach 1)

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

248,478 124,239 372,718 186,359 559,078 279,539 838,618 419,309 1,257,928 628,964 314,482 157,241 471,724 235,862 117,931 353,794 176,897 530,692 265,346 132,673 398,020 199,010 99,505 298,516 149,258 74,629 223,888 111,944 55,972 27,986 13,993 41,980 20,990 10,495 31,486 15,743 47,230 23,615 70,846 35,423 106,270 53,135 159,406 79,703 239,110 119,555 358,666 179,333 538,000 269,000 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744

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