λ
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Atlas › Integer Profiles › Node 8,096,673

8,096,673

3 × 13 × 31 × 37 × 181
Deficient Odd Composite

8,096,673 factors as 3 × 13 × 31 × 37 × 181. Its 32 positive divisors give a proper-divisor sum of 4,296,799, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3 × 13 × 31 × 37 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,393,472
Proper Divisor Sum 4,296,799
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8096657 ← → #8096719

Radix Representation

Decimal 8096673
Binary 11110111000101110100001 (23 bits)
Octal 0o36705641
Hexadecimal 0x7B8BA1

Divisor Catalog (32)

1 3 13 31 37 39 93 111 181 403 481 543 1,147 1,209 1,443 2,353 3,441 5,611 6,697 7,059 14,911 16,833 20,091 44,733 72,943 87,061 207,607 218,829 261,183 622,821 2,698,891 8,096,673

Collatz Trajectory (85 steps to reach 1)

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

8,096,673 24,290,020 12,145,010 6,072,505 18,217,516 9,108,758 4,554,379 13,663,138 6,831,569 20,494,708 10,247,354 5,123,677 15,371,032 7,685,516 3,842,758 1,921,379 5,764,138 2,882,069 8,646,208 4,323,104 2,161,552 1,080,776 540,388 270,194 135,097 405,292 202,646 101,323 303,970 151,985 455,956 227,978 113,989 341,968 170,984 85,492 42,746 21,373 64,120 32,060 16,030 8,015 24,046 12,023 36,070 18,035 54,106 27,053 81,160 40,580 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561

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