λ
Sigma Notebook

6,626,175

3 × 52 × 17 × 5197
Deficient Odd Composite

6,626,175 is odd and not a perfect square. Its factorization is 3 × 5^2 × 17 × 5197 and its 24 divisors sum to 11,601,936.

Prime Factor Structure

Factorization String 3 × 5^2 × 17 × 5197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,601,936
Proper Divisor Sum 4,975,761
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6626173 ← → #6626177

Radix Representation

Decimal 6626175
Binary 11001010001101101111111 (23 bits)
Octal 0o31215577
Hexadecimal 0x651B7F

Divisor Catalog (24)

1 3 5 15 17 25 51 75 85 255 425 1,275 5,197 15,591 25,985 77,955 88,349 129,925 265,047 389,775 441,745 1,325,235 2,208,725 6,626,175

Collatz Trajectory (90 steps to reach 1)

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

6,626,175 19,878,526 9,939,263 29,817,790 14,908,895 44,726,686 22,363,343 67,090,030 33,545,015 100,635,046 50,317,523 150,952,570 75,476,285 226,428,856 113,214,428 56,607,214 28,303,607 84,910,822 42,455,411 127,366,234 63,683,117 191,049,352 95,524,676 47,762,338 23,881,169 71,643,508 35,821,754 17,910,877 53,732,632 26,866,316 13,433,158 6,716,579 20,149,738 10,074,869 30,224,608 15,112,304 7,556,152 3,778,076 1,889,038 944,519 2,833,558 1,416,779 4,250,338 2,125,169 6,375,508 3,187,754 1,593,877 4,781,632 2,390,816 1,195,408 597,704 298,852 149,426 74,713 224,140 112,070 56,035 168,106 84,053 252,160

More profiles

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