λ
Sigma Notebook

8,459,649

32 × 11 × 85451
Deficient Odd Composite

8,459,649 is odd and not a perfect square. Its factorization is 3^2 × 11 × 85451 and its 12 divisors sum to 13,330,512.

Prime Factor Structure

Factorization String 3^2 × 11 × 85451
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,330,512
Proper Divisor Sum 4,870,863
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8459641 ← → #8459651

Radix Representation

Decimal 8459649
Binary 100000010001010110000001 (24 bits)
Octal 0o40212601
Hexadecimal 0x811581

Divisor Catalog (12)

1 3 9 11 33 99 85,451 256,353 769,059 939,961 2,819,883 8,459,649

Collatz Trajectory (150 steps to reach 1)

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

8,459,649 25,378,948 12,689,474 6,344,737 19,034,212 9,517,106 4,758,553 14,275,660 7,137,830 3,568,915 10,706,746 5,353,373 16,060,120 8,030,060 4,015,030 2,007,515 6,022,546 3,011,273 9,033,820 4,516,910 2,258,455 6,775,366 3,387,683 10,163,050 5,081,525 15,244,576 7,622,288 3,811,144 1,905,572 952,786 476,393 1,429,180 714,590 357,295 1,071,886 535,943 1,607,830 803,915 2,411,746 1,205,873 3,617,620 1,808,810 904,405 2,713,216 1,356,608 678,304 339,152 169,576 84,788 42,394 21,197 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944

More profiles

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