λ
Harmonic Matrix

7,530,008

23 × 941251
Deficient Even Composite

7,530,008 has digital root 5. The neighboring primes are 7530007 and 7530059; its proper-divisor sum differs from the starting integer by -941,236.

Prime Factor Structure

Factorization String 2^3 × 941251
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,118,780
Proper Divisor Sum 6,588,772
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7530007 ← → #7530059

Radix Representation

Decimal 7530008
Binary 11100101110011000011000 (23 bits)
Octal 0o34563030
Hexadecimal 0x72E618

Divisor Catalog (8)

1 2 4 8 941,251 1,882,502 3,765,004 7,530,008

Collatz Trajectory (129 steps to reach 1)

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

7,530,008 3,765,004 1,882,502 941,251 2,823,754 1,411,877 4,235,632 2,117,816 1,058,908 529,454 264,727 794,182 397,091 1,191,274 595,637 1,786,912 893,456 446,728 223,364 111,682 55,841 167,524 83,762 41,881 125,644 62,822 31,411 94,234 47,117 141,352 70,676 35,338 17,669 53,008 26,504 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

More profiles

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