4,673,672

2³ × 41 × 14249

Starting at 4,673,672, the Collatz iteration reaches 1 after 162 steps. The first transition is 2336836; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 41 × 14249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,977,500

Proper Divisor Sum 4,303,828

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4673659 ← → #4673681

Radix Representation

Decimal	4673672
Binary	10001110101000010001000 (23 bits)
Octal	0o21650210
Hexadecimal	0x475088

Divisor Catalog (16)

1 2 4 8 41 82 164 328 14,249 28,498 56,996 113,992 584,209 1,168,418 2,336,836 4,673,672

Collatz Trajectory (162 steps to reach 1)

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

4,673,672 2,336,836 1,168,418 584,209 1,752,628 876,314 438,157 1,314,472 657,236 328,618 164,309 492,928 246,464 123,232 61,616 30,808 15,404 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142

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