λ
Harmonic Matrix

8,729,165

5 × 149 × 11717
Deficient Odd Composite

8,729,165 has digital root 2. The neighboring primes are 8729141 and 8729173; its proper-divisor sum differs from the starting integer by -6,912,130.

Prime Factor Structure

Factorization String 5 × 149 × 11717
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,546,200
Proper Divisor Sum 1,817,035
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8729141 ← → #8729173

Radix Representation

Decimal 8729165
Binary 100001010011001001001101 (24 bits)
Octal 0o41231115
Hexadecimal 0x85324D

Divisor Catalog (8)

1 5 149 745 11,717 58,585 1,745,833 8,729,165

Collatz Trajectory (212 steps to reach 1)

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

8,729,165 26,187,496 13,093,748 6,546,874 3,273,437 9,820,312 4,910,156 2,455,078 1,227,539 3,682,618 1,841,309 5,523,928 2,761,964 1,380,982 690,491 2,071,474 1,035,737 3,107,212 1,553,606 776,803 2,330,410 1,165,205 3,495,616 1,747,808 873,904 436,952 218,476 109,238 54,619 163,858 81,929 245,788 122,894 61,447 184,342 92,171 276,514 138,257 414,772 207,386 103,693 311,080 155,540 77,770 38,885 116,656 58,328 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229

More profiles

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