3,804,498

2 × 3² × 17 × 12433

Starting at 3,804,498, the Collatz iteration reaches 1 after 291 steps. The first transition is 1902249; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 12433

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,728,668

Proper Divisor Sum 4,924,170

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3804491 ← → #3804517

Radix Representation

Decimal	3804498
Binary	1110100000110101010010 (22 bits)
Octal	0o16406522
Hexadecimal	0x3A0D52

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 12,433 24,866 37,299 74,598 111,897 211,361 223,794 422,722 634,083 1,268,166 1,902,249 3,804,498

Collatz Trajectory (291 steps to reach 1)

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

3,804,498 1,902,249 5,706,748 2,853,374 1,426,687 4,280,062 2,140,031 6,420,094 3,210,047 9,630,142 4,815,071 14,445,214 7,222,607 21,667,822 10,833,911 32,501,734 16,250,867 48,752,602 24,376,301 73,128,904 36,564,452 18,282,226 9,141,113 27,423,340 13,711,670 6,855,835 20,567,506 10,283,753 30,851,260 15,425,630 7,712,815 23,138,446 11,569,223 34,707,670 17,353,835 52,061,506 26,030,753 78,092,260 39,046,130 19,523,065 58,569,196 29,284,598 14,642,299 43,926,898 21,963,449 65,890,348 32,945,174 16,472,587 49,417,762 24,708,881 74,126,644 37,063,322 18,531,661 55,594,984 27,797,492 13,898,746 6,949,373 20,848,120 10,424,060 5,212,030

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