λ
Integer Codex

8,415,178

2 × 131 × 32119
Deficient Even Composite

For 8,415,178, the 8 positive divisors have a total of 12,719,520. Removing 8,415,178 leaves 4,304,342, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 131 × 32119
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,719,520
Proper Divisor Sum 4,304,342
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8415163 ← → #8415193

Radix Representation

Decimal 8415178
Binary 100000000110011111001010 (24 bits)
Octal 0o40063712
Hexadecimal 0x8067CA

Divisor Catalog (8)

1 2 131 262 32,119 64,238 4,207,589 8,415,178

Collatz Trajectory (181 steps to reach 1)

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

8,415,178 4,207,589 12,622,768 6,311,384 3,155,692 1,577,846 788,923 2,366,770 1,183,385 3,550,156 1,775,078 887,539 2,662,618 1,331,309 3,993,928 1,996,964 998,482 499,241 1,497,724 748,862 374,431 1,123,294 561,647 1,684,942 842,471 2,527,414 1,263,707 3,791,122 1,895,561 5,686,684 2,843,342 1,421,671 4,265,014 2,132,507 6,397,522 3,198,761 9,596,284 4,798,142 2,399,071 7,197,214 3,598,607 10,795,822 5,397,911 16,193,734 8,096,867 24,290,602 12,145,301 36,435,904 18,217,952 9,108,976 4,554,488 2,277,244 1,138,622 569,311 1,707,934 853,967 2,561,902 1,280,951 3,842,854 1,921,427

More profiles

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