4,691,824

2⁴ × 83 × 3533

Starting at 4,691,824, the Collatz iteration reaches 1 after 149 steps. The first transition is 2345912; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 83 × 3533

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,202,536

Proper Divisor Sum 4,510,712

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4691821 ← → #4691831

Radix Representation

Decimal	4691824
Binary	10001111001011101110000 (23 bits)
Octal	0o21713560
Hexadecimal	0x479770

Divisor Catalog (20)

1 2 4 8 16 83 166 332 664 1,328 3,533 7,066 14,132 28,264 56,528 293,239 586,478 1,172,956 2,345,912 4,691,824

Collatz Trajectory (149 steps to reach 1)

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

4,691,824 2,345,912 1,172,956 586,478 293,239 879,718 439,859 1,319,578 659,789 1,979,368 989,684 494,842 247,421 742,264 371,132 185,566 92,783 278,350 139,175 417,526 208,763 626,290 313,145 939,436 469,718 234,859 704,578 352,289 1,056,868 528,434 264,217 792,652 396,326 198,163 594,490 297,245 891,736 445,868 222,934 111,467 334,402 167,201 501,604 250,802 125,401 376,204 188,102 94,051 282,154 141,077 423,232 211,616 105,808 52,904 26,452 13,226 6,613 19,840 9,920 4,960

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