λ
Harmonic Matrix

5,350,825

52 × 214033
Deficient Odd Composite

5,350,825 has digital root 1. The neighboring primes are 5350781 and 5350831; its proper-divisor sum differs from the starting integer by -4,066,596.

Prime Factor Structure

Factorization String 5^2 × 214033
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,635,054
Proper Divisor Sum 1,284,229
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5350781 ← → #5350831

Radix Representation

Decimal 5350825
Binary 10100011010010110101001 (23 bits)
Octal 0o24322651
Hexadecimal 0x51A5A9

Divisor Catalog (6)

1 5 25 214,033 1,070,165 5,350,825

Collatz Trajectory (294 steps to reach 1)

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

5,350,825 16,052,476 8,026,238 4,013,119 12,039,358 6,019,679 18,059,038 9,029,519 27,088,558 13,544,279 40,632,838 20,316,419 60,949,258 30,474,629 91,423,888 45,711,944 22,855,972 11,427,986 5,713,993 17,141,980 8,570,990 4,285,495 12,856,486 6,428,243 19,284,730 9,642,365 28,927,096 14,463,548 7,231,774 3,615,887 10,847,662 5,423,831 16,271,494 8,135,747 24,407,242 12,203,621 36,610,864 18,305,432 9,152,716 4,576,358 2,288,179 6,864,538 3,432,269 10,296,808 5,148,404 2,574,202 1,287,101 3,861,304 1,930,652 965,326 482,663 1,447,990 723,995 2,171,986 1,085,993 3,257,980 1,628,990 814,495 2,443,486 1,221,743

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