λ
Harmonic Matrix

5,375,925

32 × 52 × 23893
Deficient Odd Composite

5,375,925 has digital root 9. The neighboring primes are 5375911 and 5375941; its proper-divisor sum differs from the starting integer by -1,122,568.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 23893
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 9,629,282
Proper Divisor Sum 4,253,357
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5375911 ← → #5375941

Radix Representation

Decimal 5375925
Binary 10100100000011110110101 (23 bits)
Octal 0o24403665
Hexadecimal 0x5207B5

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 23,893 71,679 119,465 215,037 358,395 597,325 1,075,185 1,791,975 5,375,925

Collatz Trajectory (139 steps to reach 1)

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

5,375,925 16,127,776 8,063,888 4,031,944 2,015,972 1,007,986 503,993 1,511,980 755,990 377,995 1,133,986 566,993 1,700,980 850,490 425,245 1,275,736 637,868 318,934 159,467 478,402 239,201 717,604 358,802 179,401 538,204 269,102 134,551 403,654 201,827 605,482 302,741 908,224 454,112 227,056 113,528 56,764 28,382 14,191 42,574 21,287 63,862 31,931 95,794 47,897 143,692 71,846 35,923 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604

More profiles

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