λ
Harmonic Matrix

7,529,485

5 × 491 × 3067
Deficient Odd Composite

7,529,485 has digital root 4. The neighboring primes are 7529471 and 7529519; its proper-divisor sum differs from the starting integer by -6,002,234.

Prime Factor Structure

Factorization String 5 × 491 × 3067
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,056,736
Proper Divisor Sum 1,527,251
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7529471 ← → #7529519

Radix Representation

Decimal 7529485
Binary 11100101110010000001101 (23 bits)
Octal 0o34562015
Hexadecimal 0x72E40D

Divisor Catalog (8)

1 5 491 2,455 3,067 15,335 1,505,897 7,529,485

Collatz Trajectory (111 steps to reach 1)

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

7,529,485 22,588,456 11,294,228 5,647,114 2,823,557 8,470,672 4,235,336 2,117,668 1,058,834 529,417 1,588,252 794,126 397,063 1,191,190 595,595 1,786,786 893,393 2,680,180 1,340,090 670,045 2,010,136 1,005,068 502,534 251,267 753,802 376,901 1,130,704 565,352 282,676 141,338 70,669 212,008 106,004 53,002 26,501 79,504 39,752 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964

More profiles

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