λ
Harmonic Matrix

8,016,789

3 × 11 × 29 × 8377
Deficient Odd Composite

8,016,789 has digital root 3. The neighboring primes are 8016781 and 8016793; its proper-divisor sum differs from the starting integer by -3,969,258.

Prime Factor Structure

Factorization String 3 × 11 × 29 × 8377
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,064,320
Proper Divisor Sum 4,047,531
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8016781 ← → #8016793

Radix Representation

Decimal 8016789
Binary 11110100101001110010101 (23 bits)
Octal 0o36451625
Hexadecimal 0x7A5395

Divisor Catalog (16)

1 3 11 29 33 87 319 957 8,377 25,131 92,147 242,933 276,441 728,799 2,672,263 8,016,789

Collatz Trajectory (261 steps to reach 1)

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

8,016,789 24,050,368 12,025,184 6,012,592 3,006,296 1,503,148 751,574 375,787 1,127,362 563,681 1,691,044 845,522 422,761 1,268,284 634,142 317,071 951,214 475,607 1,426,822 713,411 2,140,234 1,070,117 3,210,352 1,605,176 802,588 401,294 200,647 601,942 300,971 902,914 451,457 1,354,372 677,186 338,593 1,015,780 507,890 253,945 761,836 380,918 190,459 571,378 285,689 857,068 428,534 214,267 642,802 321,401 964,204 482,102 241,051 723,154 361,577 1,084,732 542,366 271,183 813,550 406,775 1,220,326 610,163 1,830,490

More profiles

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