λ
Sigma Notebook

6,844,475

52 × 11 × 24889
Deficient Odd Composite

6,844,475 is odd and not a perfect square. Its factorization is 5^2 × 11 × 24889 and its 12 divisors sum to 9,259,080.

Prime Factor Structure

Factorization String 5^2 × 11 × 24889
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,259,080
Proper Divisor Sum 2,414,605
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6844463 ← → #6844477

Radix Representation

Decimal 6844475
Binary 11010000111000000111011 (23 bits)
Octal 0o32070073
Hexadecimal 0x68703B

Divisor Catalog (12)

1 5 11 25 55 275 24,889 124,445 273,779 622,225 1,368,895 6,844,475

Collatz Trajectory (178 steps to reach 1)

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

6,844,475 20,533,426 10,266,713 30,800,140 15,400,070 7,700,035 23,100,106 11,550,053 34,650,160 17,325,080 8,662,540 4,331,270 2,165,635 6,496,906 3,248,453 9,745,360 4,872,680 2,436,340 1,218,170 609,085 1,827,256 913,628 456,814 228,407 685,222 342,611 1,027,834 513,917 1,541,752 770,876 385,438 192,719 578,158 289,079 867,238 433,619 1,300,858 650,429 1,951,288 975,644 487,822 243,911 731,734 365,867 1,097,602 548,801 1,646,404 823,202 411,601 1,234,804 617,402 308,701 926,104 463,052 231,526 115,763 347,290 173,645 520,936 260,468

More profiles

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