λ
Harmonic Matrix

5,667,435

33 × 5 × 41981
Deficient Odd Composite

5,667,435 has digital root 9. The neighboring primes are 5667427 and 5667437; its proper-divisor sum differs from the starting integer by -1,259,190.

Prime Factor Structure

Factorization String 3^3 × 5 × 41981
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,075,680
Proper Divisor Sum 4,408,245
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5667427 ← → #5667437

Radix Representation

Decimal 5667435
Binary 10101100111101001101011 (23 bits)
Octal 0o25475153
Hexadecimal 0x567A6B

Divisor Catalog (16)

1 3 5 9 15 27 45 135 41,981 125,943 209,905 377,829 629,715 1,133,487 1,889,145 5,667,435

Collatz Trajectory (201 steps to reach 1)

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

5,667,435 17,002,306 8,501,153 25,503,460 12,751,730 6,375,865 19,127,596 9,563,798 4,781,899 14,345,698 7,172,849 21,518,548 10,759,274 5,379,637 16,138,912 8,069,456 4,034,728 2,017,364 1,008,682 504,341 1,513,024 756,512 378,256 189,128 94,564 47,282 23,641 70,924 35,462 17,731 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963

More profiles

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