λ
Sequence Observatory

6,494,433

3 × 112 × 17891
Deficient Odd Composite

Starting at 6,494,433, the Collatz iteration reaches 1 after 116 steps. The first transition is 19483300; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 17891
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,518,544
Proper Divisor Sum 3,024,111
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6494417 ← → #6494443

Radix Representation

Decimal 6494433
Binary 11000110001100011100001 (23 bits)
Octal 0o30614341
Hexadecimal 0x6318E1

Divisor Catalog (12)

1 3 11 33 121 363 17,891 53,673 196,801 590,403 2,164,811 6,494,433

Collatz Trajectory (116 steps to reach 1)

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

6,494,433 19,483,300 9,741,650 4,870,825 14,612,476 7,306,238 3,653,119 10,959,358 5,479,679 16,439,038 8,219,519 24,658,558 12,329,279 36,987,838 18,493,919 55,481,758 27,740,879 83,222,638 41,611,319 124,833,958 62,416,979 187,250,938 93,625,469 280,876,408 140,438,204 70,219,102 35,109,551 105,328,654 52,664,327 157,992,982 78,996,491 236,989,474 118,494,737 355,484,212 177,742,106 88,871,053 266,613,160 133,306,580 66,653,290 33,326,645 99,979,936 49,989,968 24,994,984 12,497,492 6,248,746 3,124,373 9,373,120 4,686,560 2,343,280 1,171,640 585,820 292,910 146,455 439,366 219,683 659,050 329,525 988,576 494,288 247,144

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