λ
Sigma Notebook

9,808,865

5 × 112 × 31 × 523
Deficient Odd Composite

9,808,865 is odd and not a perfect square. Its factorization is 5 × 11^2 × 31 × 523 and its 24 divisors sum to 13,380,864.

Prime Factor Structure

Factorization String 5 × 11^2 × 31 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,380,864
Proper Divisor Sum 3,571,999
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9808849 ← → #9808891

Radix Representation

Decimal 9808865
Binary 100101011010101111100001 (24 bits)
Octal 0o45325741
Hexadecimal 0x95ABE1

Divisor Catalog (24)

1 5 11 31 55 121 155 341 523 605 1,705 2,615 3,751 5,753 16,213 18,755 28,765 63,283 81,065 178,343 316,415 891,715 1,961,773 9,808,865

Collatz Trajectory (269 steps to reach 1)

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

9,808,865 29,426,596 14,713,298 7,356,649 22,069,948 11,034,974 5,517,487 16,552,462 8,276,231 24,828,694 12,414,347 37,243,042 18,621,521 55,864,564 27,932,282 13,966,141 41,898,424 20,949,212 10,474,606 5,237,303 15,711,910 7,855,955 23,567,866 11,783,933 35,351,800 17,675,900 8,837,950 4,418,975 13,256,926 6,628,463 19,885,390 9,942,695 29,828,086 14,914,043 44,742,130 22,371,065 67,113,196 33,556,598 16,778,299 50,334,898 25,167,449 75,502,348 37,751,174 18,875,587 56,626,762 28,313,381 84,940,144 42,470,072 21,235,036 10,617,518 5,308,759 15,926,278 7,963,139 23,889,418 11,944,709 35,834,128 17,917,064 8,958,532 4,479,266 2,239,633

More profiles

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