λ
Sigma Notebook

8,380,702

2 × 112 × 34631
Deficient Even Composite

8,380,702 is even and not a perfect square. Its factorization is 2 × 11^2 × 34631 and its 12 divisors sum to 13,818,168.

Prime Factor Structure

Factorization String 2 × 11^2 × 34631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,818,168
Proper Divisor Sum 5,437,466
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8380699 ← → #8380721

Radix Representation

Decimal 8380702
Binary 11111111110000100011110 (23 bits)
Octal 0o37760436
Hexadecimal 0x7FE11E

Divisor Catalog (12)

1 2 11 22 121 242 34,631 69,262 380,941 761,882 4,190,351 8,380,702

Collatz Trajectory (137 steps to reach 1)

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

8,380,702 4,190,351 12,571,054 6,285,527 18,856,582 9,428,291 28,284,874 14,142,437 42,427,312 21,213,656 10,606,828 5,303,414 2,651,707 7,955,122 3,977,561 11,932,684 5,966,342 2,983,171 8,949,514 4,474,757 13,424,272 6,712,136 3,356,068 1,678,034 839,017 2,517,052 1,258,526 629,263 1,887,790 943,895 2,831,686 1,415,843 4,247,530 2,123,765 6,371,296 3,185,648 1,592,824 796,412 398,206 199,103 597,310 298,655 895,966 447,983 1,343,950 671,975 2,015,926 1,007,963 3,023,890 1,511,945 4,535,836 2,267,918 1,133,959 3,401,878 1,700,939 5,102,818 2,551,409 7,654,228 3,827,114 1,913,557

More profiles

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