8,239,023

3³ × 13 × 23473

8,239,023 has the prime decomposition 3^3 × 13 × 23473. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 13 × 23473

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,145,440

Proper Divisor Sum 4,906,417

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8239019 ← → #8239031

Radix Representation

Decimal	8239023
Binary	11111011011011110101111 (23 bits)
Octal	0o37333657
Hexadecimal	0x7DB7AF

Divisor Catalog (16)

1 3 9 13 27 39 117 351 23,473 70,419 211,257 305,149 633,771 915,447 2,746,341 8,239,023

Collatz Trajectory (199 steps to reach 1)

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

8,239,023 24,717,070 12,358,535 37,075,606 18,537,803 55,613,410 27,806,705 83,420,116 41,710,058 20,855,029 62,565,088 31,282,544 15,641,272 7,820,636 3,910,318 1,955,159 5,865,478 2,932,739 8,798,218 4,399,109 13,197,328 6,598,664 3,299,332 1,649,666 824,833 2,474,500 1,237,250 618,625 1,855,876 927,938 463,969 1,391,908 695,954 347,977 1,043,932 521,966 260,983 782,950 391,475 1,174,426 587,213 1,761,640 880,820 440,410 220,205 660,616 330,308 165,154 82,577 247,732 123,866 61,933 185,800 92,900 46,450 23,225 69,676 34,838 17,419 52,258

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