λ
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7,667,114

2 × 7 × 13 × 103 × 409
Deficient Even Composite

7,667,114 factors as 2 × 7 × 13 × 103 × 409. Its 32 positive divisors give a proper-divisor sum of 6,659,926, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 103 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,327,040
Proper Divisor Sum 6,659,926
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7667113 ← → #7667129

Radix Representation

Decimal 7667114
Binary 11101001111110110101010 (23 bits)
Octal 0o35176652
Hexadecimal 0x74FDAA

Divisor Catalog (32)

1 2 7 13 14 26 91 103 182 206 409 721 818 1,339 1,442 2,678 2,863 5,317 5,726 9,373 10,634 18,746 37,219 42,127 74,438 84,254 294,889 547,651 589,778 1,095,302 3,833,557 7,667,114

Collatz Trajectory (80 steps to reach 1)

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

7,667,114 3,833,557 11,500,672 5,750,336 2,875,168 1,437,584 718,792 359,396 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38

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