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Atlas › Integer Profiles › Node 8,998,938

8,998,938

2 × 34 × 13 × 4273
Abundant Even Composite

8,998,938 factors as 2 × 3^4 × 13 × 4273. Its 40 positive divisors give a proper-divisor sum of 12,721,530, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 13 × 4273
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,720,468
Proper Divisor Sum 12,721,530
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #8998921 ← → #8998963

Radix Representation

Decimal 8998938
Binary 100010010101000000011010 (24 bits)
Octal 0o42250032
Hexadecimal 0x89501A

Divisor Catalog (40)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1,053 2,106 4,273 8,546 12,819 25,638 38,457 55,549 76,914 111,098 115,371 166,647 230,742 333,294 346,113 499,941 692,226 999,882 1,499,823 2,999,646 4,499,469 8,998,938

Collatz Trajectory (111 steps to reach 1)

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

8,998,938 4,499,469 13,498,408 6,749,204 3,374,602 1,687,301 5,061,904 2,530,952 1,265,476 632,738 316,369 949,108 474,554 237,277 711,832 355,916 177,958 88,979 266,938 133,469 400,408 200,204 100,102 50,051 150,154 75,077 225,232 112,616 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515

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