λ
Harmonic Matrix

3,704,873

3704873
Deficient Odd Prime

3,704,873 has digital root 5. The neighboring primes are 3704849 and 3704879; its proper-divisor sum differs from the starting integer by -3,704,872.

Prime Factor Structure

Factorization String 3704873
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,704,874
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3704849 ← → #3704879

Radix Representation

Decimal 3704873
Binary 1110001000100000101001 (22 bits)
Octal 0o16104051
Hexadecimal 0x388829

Divisor Catalog (2)

Collatz Trajectory (340 steps to reach 1)

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

3,704,873 11,114,620 5,557,310 2,778,655 8,335,966 4,167,983 12,503,950 6,251,975 18,755,926 9,377,963 28,133,890 14,066,945 42,200,836 21,100,418 10,550,209 31,650,628 15,825,314 7,912,657 23,737,972 11,868,986 5,934,493 17,803,480 8,901,740 4,450,870 2,225,435 6,676,306 3,338,153 10,014,460 5,007,230 2,503,615 7,510,846 3,755,423 11,266,270 5,633,135 16,899,406 8,449,703 25,349,110 12,674,555 38,023,666 19,011,833 57,035,500 28,517,750 14,258,875 42,776,626 21,388,313 64,164,940 32,082,470 16,041,235 48,123,706 24,061,853 72,185,560 36,092,780 18,046,390 9,023,195 27,069,586 13,534,793 40,604,380 20,302,190 10,151,095 30,453,286

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