λ
Sequence Observatory

6,659,169

3 × 11 × 373 × 541
Deficient Odd Composite

Starting at 6,659,169, the Collatz iteration reaches 1 after 139 steps. The first transition is 19977508; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 373 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,729,984
Proper Divisor Sum 3,070,815
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6659113 ← → #6659201

Radix Representation

Decimal 6659169
Binary 11001011001110001100001 (23 bits)
Octal 0o31316141
Hexadecimal 0x659C61

Divisor Catalog (16)

1 3 11 33 373 541 1,119 1,623 4,103 5,951 12,309 17,853 201,793 605,379 2,219,723 6,659,169

Collatz Trajectory (139 steps to reach 1)

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

6,659,169 19,977,508 9,988,754 4,994,377 14,983,132 7,491,566 3,745,783 11,237,350 5,618,675 16,856,026 8,428,013 25,284,040 12,642,020 6,321,010 3,160,505 9,481,516 4,740,758 2,370,379 7,111,138 3,555,569 10,666,708 5,333,354 2,666,677 8,000,032 4,000,016 2,000,008 1,000,004 500,002 250,001 750,004 375,002 187,501 562,504 281,252 140,626 70,313 210,940 105,470 52,735 158,206 79,103 237,310 118,655 355,966 177,983 533,950 266,975 800,926 400,463 1,201,390 600,695 1,802,086 901,043 2,703,130 1,351,565 4,054,696 2,027,348 1,013,674 506,837 1,520,512

More profiles

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