λ
Sigma Notebook

7,641,881

13 × 109 × 5393
Deficient Odd Composite

7,641,881 is odd and not a perfect square. Its factorization is 13 × 109 × 5393 and its 8 divisors sum to 8,306,760.

Prime Factor Structure

Factorization String 13 × 109 × 5393
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,306,760
Proper Divisor Sum 664,879
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7641863 ← → #7641883

Radix Representation

Decimal 7641881
Binary 11101001001101100011001 (23 bits)
Octal 0o35115431
Hexadecimal 0x749B19

Divisor Catalog (8)

1 13 109 1,417 5,393 70,109 587,837 7,641,881

Collatz Trajectory (124 steps to reach 1)

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

7,641,881 22,925,644 11,462,822 5,731,411 17,194,234 8,597,117 25,791,352 12,895,676 6,447,838 3,223,919 9,671,758 4,835,879 14,507,638 7,253,819 21,761,458 10,880,729 32,642,188 16,321,094 8,160,547 24,481,642 12,240,821 36,722,464 18,361,232 9,180,616 4,590,308 2,295,154 1,147,577 3,442,732 1,721,366 860,683 2,582,050 1,291,025 3,873,076 1,936,538 968,269 2,904,808 1,452,404 726,202 363,101 1,089,304 544,652 272,326 136,163 408,490 204,245 612,736 306,368 153,184 76,592 38,296 19,148 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080

More profiles

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