λ
Ratio Atlas

8,053,089

3 × 11 × 244033
Deficient Odd Composite

8,053,089 factors as 3 × 11 × 244033. Its 8 positive divisors give a proper-divisor sum of 3,660,543, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 11 × 244033
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,713,632
Proper Divisor Sum 3,660,543
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8053079 ← → #8053091

Radix Representation

Decimal 8053089
Binary 11110101110000101100001 (23 bits)
Octal 0o36560541
Hexadecimal 0x7AE161

Divisor Catalog (8)

1 3 11 33 244,033 732,099 2,684,363 8,053,089

Collatz Trajectory (186 steps to reach 1)

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

8,053,089 24,159,268 12,079,634 6,039,817 18,119,452 9,059,726 4,529,863 13,589,590 6,794,795 20,384,386 10,192,193 30,576,580 15,288,290 7,644,145 22,932,436 11,466,218 5,733,109 17,199,328 8,599,664 4,299,832 2,149,916 1,074,958 537,479 1,612,438 806,219 2,418,658 1,209,329 3,627,988 1,813,994 906,997 2,720,992 1,360,496 680,248 340,124 170,062 85,031 255,094 127,547 382,642 191,321 573,964 286,982 143,491 430,474 215,237 645,712 322,856 161,428 80,714 40,357 121,072 60,536 30,268 15,134 7,567 22,702 11,351 34,054 17,027 51,082

More profiles

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