λ
Harmonic Matrix

7,325,549

72 × 11 × 13591
Deficient Odd Composite

7,325,549 has digital root 8. The neighboring primes are 7325543 and 7325557; its proper-divisor sum differs from the starting integer by -5,354,170.

Prime Factor Structure

Factorization String 7^2 × 11 × 13591
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,296,928
Proper Divisor Sum 1,971,379
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7325543 ← → #7325557

Radix Representation

Decimal 7325549
Binary 11011111100011101101101 (23 bits)
Octal 0o33743555
Hexadecimal 0x6FC76D

Divisor Catalog (12)

1 7 11 49 77 539 13,591 95,137 149,501 665,959 1,046,507 7,325,549

Collatz Trajectory (204 steps to reach 1)

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

7,325,549 21,976,648 10,988,324 5,494,162 2,747,081 8,241,244 4,120,622 2,060,311 6,180,934 3,090,467 9,271,402 4,635,701 13,907,104 6,953,552 3,476,776 1,738,388 869,194 434,597 1,303,792 651,896 325,948 162,974 81,487 244,462 122,231 366,694 183,347 550,042 275,021 825,064 412,532 206,266 103,133 309,400 154,700 77,350 38,675 116,026 58,013 174,040 87,020 43,510 21,755 65,266 32,633 97,900 48,950 24,475 73,426 36,713 110,140 55,070 27,535 82,606 41,303 123,910 61,955 185,866 92,933 278,800

More profiles

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