2,923,641

3³ × 7 × 31 × 499

Starting at 2,923,641, the Collatz iteration reaches 1 after 213 steps. The first transition is 8770924; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 31 × 499

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,120,000

Proper Divisor Sum 2,196,359

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2923633 ← → #2923651

Radix Representation

Decimal	2923641
Binary	1011001001110001111001 (22 bits)
Octal	0o13116171
Hexadecimal	0x2C9C79

Divisor Catalog (32)

1 3 7 9 21 27 31 63 93 189 217 279 499 651 837 1,497 1,953 3,493 4,491 5,859 10,479 13,473 15,469 31,437 46,407 94,311 108,283 139,221 324,849 417,663 974,547 2,923,641

Collatz Trajectory (213 steps to reach 1)

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

2,923,641 8,770,924 4,385,462 2,192,731 6,578,194 3,289,097 9,867,292 4,933,646 2,466,823 7,400,470 3,700,235 11,100,706 5,550,353 16,651,060 8,325,530 4,162,765 12,488,296 6,244,148 3,122,074 1,561,037 4,683,112 2,341,556 1,170,778 585,389 1,756,168 878,084 439,042 219,521 658,564 329,282 164,641 493,924 246,962 123,481 370,444 185,222 92,611 277,834 138,917 416,752 208,376 104,188 52,094 26,047 78,142 39,071 117,214 58,607 175,822 87,911 263,734 131,867 395,602 197,801 593,404 296,702 148,351 445,054 222,527 667,582

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