λ
Sigma Notebook

8,244,761

7 × 971 × 1213
Deficient Odd Composite

8,244,761 is odd and not a perfect square. Its factorization is 7 × 971 × 1213 and its 8 divisors sum to 9,440,064.

Prime Factor Structure

Factorization String 7 × 971 × 1213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,440,064
Proper Divisor Sum 1,195,303
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8244757 ← → #8244763

Radix Representation

Decimal 8244761
Binary 11111011100111000011001 (23 bits)
Octal 0o37347031
Hexadecimal 0x7DCE19

Divisor Catalog (8)

1 7 971 1,213 6,797 8,491 1,177,823 8,244,761

Collatz Trajectory (106 steps to reach 1)

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

8,244,761 24,734,284 12,367,142 6,183,571 18,550,714 9,275,357 27,826,072 13,913,036 6,956,518 3,478,259 10,434,778 5,217,389 15,652,168 7,826,084 3,913,042 1,956,521 5,869,564 2,934,782 1,467,391 4,402,174 2,201,087 6,603,262 3,301,631 9,904,894 4,952,447 14,857,342 7,428,671 22,286,014 11,143,007 33,429,022 16,714,511 50,143,534 25,071,767 75,215,302 37,607,651 112,822,954 56,411,477 169,234,432 84,617,216 42,308,608 21,154,304 10,577,152 5,288,576 2,644,288 1,322,144 661,072 330,536 165,268 82,634 41,317 123,952 61,976 30,988 15,494 7,747 23,242 11,621 34,864 17,432 8,716

More profiles

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