λ
Sigma Notebook

8,599,353

3 × 73 × 61 × 137
Deficient Odd Composite

8,599,353 is odd and not a perfect square. Its factorization is 3 × 7^3 × 61 × 137 and its 32 divisors sum to 13,689,600.

Prime Factor Structure

Factorization String 3 × 7^3 × 61 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,689,600
Proper Divisor Sum 5,090,247
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8599333 ← → #8599363

Radix Representation

Decimal 8599353
Binary 100000110011011100111001 (24 bits)
Octal 0o40633471
Hexadecimal 0x833739

Divisor Catalog (32)

1 3 7 21 49 61 137 147 183 343 411 427 959 1,029 1,281 2,877 2,989 6,713 8,357 8,967 20,139 20,923 25,071 46,991 58,499 62,769 140,973 175,497 409,493 1,228,479 2,866,451 8,599,353

Collatz Trajectory (124 steps to reach 1)

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

8,599,353 25,798,060 12,899,030 6,449,515 19,348,546 9,674,273 29,022,820 14,511,410 7,255,705 21,767,116 10,883,558 5,441,779 16,325,338 8,162,669 24,488,008 12,244,004 6,122,002 3,061,001 9,183,004 4,591,502 2,295,751 6,887,254 3,443,627 10,330,882 5,165,441 15,496,324 7,748,162 3,874,081 11,622,244 5,811,122 2,905,561 8,716,684 4,358,342 2,179,171 6,537,514 3,268,757 9,806,272 4,903,136 2,451,568 1,225,784 612,892 306,446 153,223 459,670 229,835 689,506 344,753 1,034,260 517,130 258,565 775,696 387,848 193,924 96,962 48,481 145,444 72,722 36,361 109,084 54,542

More profiles

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