λ
Sigma Notebook

6,123,867

3 × 67 × 30467
Deficient Odd Composite

6,123,867 is odd and not a perfect square. Its factorization is 3 × 67 × 30467 and its 8 divisors sum to 8,287,296.

Prime Factor Structure

Factorization String 3 × 67 × 30467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,287,296
Proper Divisor Sum 2,163,429
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6123863 ← → #6123869

Radix Representation

Decimal 6123867
Binary 10111010111000101011011 (23 bits)
Octal 0o27270533
Hexadecimal 0x5D715B

Divisor Catalog (8)

1 3 67 201 30,467 91,401 2,041,289 6,123,867

Collatz Trajectory (183 steps to reach 1)

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

6,123,867 18,371,602 9,185,801 27,557,404 13,778,702 6,889,351 20,668,054 10,334,027 31,002,082 15,501,041 46,503,124 23,251,562 11,625,781 34,877,344 17,438,672 8,719,336 4,359,668 2,179,834 1,089,917 3,269,752 1,634,876 817,438 408,719 1,226,158 613,079 1,839,238 919,619 2,758,858 1,379,429 4,138,288 2,069,144 1,034,572 517,286 258,643 775,930 387,965 1,163,896 581,948 290,974 145,487 436,462 218,231 654,694 327,347 982,042 491,021 1,473,064 736,532 368,266 184,133 552,400 276,200 138,100 69,050 34,525 103,576 51,788 25,894 12,947 38,842

More profiles

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