λ
Zalai Atlas

8,096,711

72 × 373 × 443
Deficient Odd Composite

8,096,711 has the prime decomposition 7^2 × 373 × 443. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 373 × 443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,465,192
Proper Divisor Sum 1,368,481
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8096657 ← → #8096719

Radix Representation

Decimal 8096711
Binary 11110111000101111000111 (23 bits)
Octal 0o36705707
Hexadecimal 0x7B8BC7

Divisor Catalog (12)

1 7 49 373 443 2,611 3,101 18,277 21,707 165,239 1,156,673 8,096,711

Collatz Trajectory (168 steps to reach 1)

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

8,096,711 24,290,134 12,145,067 36,435,202 18,217,601 54,652,804 27,326,402 13,663,201 40,989,604 20,494,802 10,247,401 30,742,204 15,371,102 7,685,551 23,056,654 11,528,327 34,584,982 17,292,491 51,877,474 25,938,737 77,816,212 38,908,106 19,454,053 58,362,160 29,181,080 14,590,540 7,295,270 3,647,635 10,942,906 5,471,453 16,414,360 8,207,180 4,103,590 2,051,795 6,155,386 3,077,693 9,233,080 4,616,540 2,308,270 1,154,135 3,462,406 1,731,203 5,193,610 2,596,805 7,790,416 3,895,208 1,947,604 973,802 486,901 1,460,704 730,352 365,176 182,588 91,294 45,647 136,942 68,471 205,414 102,707 308,122

More profiles

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