λ
Sigma Notebook

6,632,406

2 × 32 × 11 × 19 × 41 × 43
Abundant Even Composite

6,632,406 is even and not a perfect square. Its factorization is 2 × 3^2 × 11 × 19 × 41 × 43 and its 96 divisors sum to 17,297,280.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 19 × 41 × 43
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 17,297,280
Proper Divisor Sum 10,664,874
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6632401 ← → #6632413

Radix Representation

Decimal 6632406
Binary 11001010011001111010110 (23 bits)
Octal 0o31231726
Hexadecimal 0x6533D6

Divisor Catalog (60 of 96)

1 2 3 6 9 11 18 19 22 33 38 41 43 57 66 82 86 99 114 123 129 171 198 209 246 258 342 369 387 418 451 473 627 738 774 779 817 902 946 1,254 1,353 1,419 1,558 1,634 1,763 1,881 2,337 2,451 2,706 2,838 3,526 3,762 4,059 4,257 4,674 4,902 5,289 7,011 7,353 8,118

Collatz Trajectory (178 steps to reach 1)

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

6,632,406 3,316,203 9,948,610 4,974,305 14,922,916 7,461,458 3,730,729 11,192,188 5,596,094 2,798,047 8,394,142 4,197,071 12,591,214 6,295,607 18,886,822 9,443,411 28,330,234 14,165,117 42,495,352 21,247,676 10,623,838 5,311,919 15,935,758 7,967,879 23,903,638 11,951,819 35,855,458 17,927,729 53,783,188 26,891,594 13,445,797 40,337,392 20,168,696 10,084,348 5,042,174 2,521,087 7,563,262 3,781,631 11,344,894 5,672,447 17,017,342 8,508,671 25,526,014 12,763,007 38,289,022 19,144,511 57,433,534 28,716,767 86,150,302 43,075,151 129,225,454 64,612,727 193,838,182 96,919,091 290,757,274 145,378,637 436,135,912 218,067,956 109,033,978 54,516,989

More profiles

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