λ
Harmonic Matrix

5,288,008

23 × 11 × 60091
Abundant Even Composite

5,288,008 has digital root 4. The neighboring primes are 5287991 and 5288033; its proper-divisor sum differs from the starting integer by 240,544.

Prime Factor Structure

Factorization String 2^3 × 11 × 60091
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,816,560
Proper Divisor Sum 5,528,552
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5287991 ← → #5288033

Radix Representation

Decimal 5288008
Binary 10100001011000001001000 (23 bits)
Octal 0o24130110
Hexadecimal 0x50B048

Divisor Catalog (16)

1 2 4 8 11 22 44 88 60,091 120,182 240,364 480,728 661,001 1,322,002 2,644,004 5,288,008

Collatz Trajectory (175 steps to reach 1)

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

5,288,008 2,644,004 1,322,002 661,001 1,983,004 991,502 495,751 1,487,254 743,627 2,230,882 1,115,441 3,346,324 1,673,162 836,581 2,509,744 1,254,872 627,436 313,718 156,859 470,578 235,289 705,868 352,934 176,467 529,402 264,701 794,104 397,052 198,526 99,263 297,790 148,895 446,686 223,343 670,030 335,015 1,005,046 502,523 1,507,570 753,785 2,261,356 1,130,678 565,339 1,696,018 848,009 2,544,028 1,272,014 636,007 1,908,022 954,011 2,862,034 1,431,017 4,293,052 2,146,526 1,073,263 3,219,790 1,609,895 4,829,686 2,414,843 7,244,530

More profiles

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