λ
Harmonic Matrix

5,282,526

2 × 3 × 880421
Abundant Even Composite

5,282,526 has digital root 3. The neighboring primes are 5282521 and 5282531; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 880421
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,565,064
Proper Divisor Sum 5,282,538
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5282521 ← → #5282531

Radix Representation

Decimal 5282526
Binary 10100001001101011011110 (23 bits)
Octal 0o24115336
Hexadecimal 0x509ADE

Divisor Catalog (8)

1 2 3 6 880,421 1,760,842 2,641,263 5,282,526

Collatz Trajectory (188 steps to reach 1)

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

5,282,526 2,641,263 7,923,790 3,961,895 11,885,686 5,942,843 17,828,530 8,914,265 26,742,796 13,371,398 6,685,699 20,057,098 10,028,549 30,085,648 15,042,824 7,521,412 3,760,706 1,880,353 5,641,060 2,820,530 1,410,265 4,230,796 2,115,398 1,057,699 3,173,098 1,586,549 4,759,648 2,379,824 1,189,912 594,956 297,478 148,739 446,218 223,109 669,328 334,664 167,332 83,666 41,833 125,500 62,750 31,375 94,126 47,063 141,190 70,595 211,786 105,893 317,680 158,840 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040

More profiles

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