λ
Integer Codex

7,243,719

3 × 72 × 49277
Deficient Odd Composite

For 7,243,719, the 12 positive divisors have a total of 11,235,384. Removing 7,243,719 leaves 3,991,665, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7^2 × 49277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,235,384
Proper Divisor Sum 3,991,665
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7243711 ← → #7243721

Radix Representation

Decimal 7243719
Binary 11011101000011111000111 (23 bits)
Octal 0o33503707
Hexadecimal 0x6E87C7

Divisor Catalog (12)

1 3 7 21 49 147 49,277 147,831 344,939 1,034,817 2,414,573 7,243,719

Collatz Trajectory (116 steps to reach 1)

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

7,243,719 21,731,158 10,865,579 32,596,738 16,298,369 48,895,108 24,447,554 12,223,777 36,671,332 18,335,666 9,167,833 27,503,500 13,751,750 6,875,875 20,627,626 10,313,813 30,941,440 15,470,720 7,735,360 3,867,680 1,933,840 966,920 483,460 241,730 120,865 362,596 181,298 90,649 271,948 135,974 67,987 203,962 101,981 305,944 152,972 76,486 38,243 114,730 57,365 172,096 86,048 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666

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