λ
Harmonic Matrix

6,916,431

3 × 149 × 15473
Deficient Odd Composite

6,916,431 has digital root 3. The neighboring primes are 6916411 and 6916439; its proper-divisor sum differs from the starting integer by -4,548,462.

Prime Factor Structure

Factorization String 3 × 149 × 15473
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,284,400
Proper Divisor Sum 2,367,969
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6916411 ← → #6916439

Radix Representation

Decimal 6916431
Binary 11010011000100101001111 (23 bits)
Octal 0o32304517
Hexadecimal 0x69894F

Divisor Catalog (8)

1 3 149 447 15,473 46,419 2,305,477 6,916,431

Collatz Trajectory (178 steps to reach 1)

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

6,916,431 20,749,294 10,374,647 31,123,942 15,561,971 46,685,914 23,342,957 70,028,872 35,014,436 17,507,218 8,753,609 26,260,828 13,130,414 6,565,207 19,695,622 9,847,811 29,543,434 14,771,717 44,315,152 22,157,576 11,078,788 5,539,394 2,769,697 8,309,092 4,154,546 2,077,273 6,231,820 3,115,910 1,557,955 4,673,866 2,336,933 7,010,800 3,505,400 1,752,700 876,350 438,175 1,314,526 657,263 1,971,790 985,895 2,957,686 1,478,843 4,436,530 2,218,265 6,654,796 3,327,398 1,663,699 4,991,098 2,495,549 7,486,648 3,743,324 1,871,662 935,831 2,807,494 1,403,747 4,211,242 2,105,621 6,316,864 3,158,432 1,579,216

More profiles

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