4,591,821

3 × 13 × 281 × 419

Starting at 4,591,821, the Collatz iteration reaches 1 after 149 steps. The first transition is 13775464; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 281 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,632,640

Proper Divisor Sum 2,040,819

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4591817 ← → #4591823

Radix Representation

Decimal	4591821
Binary	10001100001000011001101 (23 bits)
Octal	0o21410315
Hexadecimal	0x4610CD

Divisor Catalog (16)

1 3 13 39 281 419 843 1,257 3,653 5,447 10,959 16,341 117,739 353,217 1,530,607 4,591,821

Collatz Trajectory (149 steps to reach 1)

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

4,591,821 13,775,464 6,887,732 3,443,866 1,721,933 5,165,800 2,582,900 1,291,450 645,725 1,937,176 968,588 484,294 242,147 726,442 363,221 1,089,664 544,832 272,416 136,208 68,104 34,052 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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