λ
Harmonic Matrix

6,528,424

23 × 7 × 116579
Abundant Even Composite

6,528,424 has digital root 4. The neighboring primes are 6528421 and 6528469; its proper-divisor sum differs from the starting integer by 932,752.

Prime Factor Structure

Factorization String 2^3 × 7 × 116579
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,989,600
Proper Divisor Sum 7,461,176
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6528421 ← → #6528469

Radix Representation

Decimal 6528424
Binary 11000111001110110101000 (23 bits)
Octal 0o30716650
Hexadecimal 0x639DA8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 116,579 233,158 466,316 816,053 932,632 1,632,106 3,264,212 6,528,424

Collatz Trajectory (90 steps to reach 1)

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

6,528,424 3,264,212 1,632,106 816,053 2,448,160 1,224,080 612,040 306,020 153,010 76,505 229,516 114,758 57,379 172,138 86,069 258,208 129,104 64,552 32,276 16,138 8,069 24,208 12,104 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154

More profiles

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