λ
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Atlas › Integer Profiles › Node 8,300,898

8,300,898

2 × 32 × 67 × 6883
Abundant Even Composite

8,300,898 factors as 2 × 3^2 × 67 × 6883. Its 24 positive divisors give a proper-divisor sum of 9,955,470, so this integer is abundant. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 67 × 6883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,256,368
Proper Divisor Sum 9,955,470
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8300893 ← → #8300899

Radix Representation

Decimal 8300898
Binary 11111101010100101100010 (23 bits)
Octal 0o37524542
Hexadecimal 0x7EA962

Divisor Catalog (24)

1 2 3 6 9 18 67 134 201 402 603 1,206 6,883 13,766 20,649 41,298 61,947 123,894 461,161 922,322 1,383,483 2,766,966 4,150,449 8,300,898

Collatz Trajectory (274 steps to reach 1)

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

8,300,898 4,150,449 12,451,348 6,225,674 3,112,837 9,338,512 4,669,256 2,334,628 1,167,314 583,657 1,750,972 875,486 437,743 1,313,230 656,615 1,969,846 984,923 2,954,770 1,477,385 4,432,156 2,216,078 1,108,039 3,324,118 1,662,059 4,986,178 2,493,089 7,479,268 3,739,634 1,869,817 5,609,452 2,804,726 1,402,363 4,207,090 2,103,545 6,310,636 3,155,318 1,577,659 4,732,978 2,366,489 7,099,468 3,549,734 1,774,867 5,324,602 2,662,301 7,986,904 3,993,452 1,996,726 998,363 2,995,090 1,497,545 4,492,636 2,246,318 1,123,159 3,369,478 1,684,739 5,054,218 2,527,109 7,581,328 3,790,664 1,895,332

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