λ
Harmonic Matrix

5,939,181

32 × 383 × 1723
Deficient Odd Composite

5,939,181 has digital root 9. The neighboring primes are 5939179 and 5939209; its proper-divisor sum differs from the starting integer by -3,272,154.

Prime Factor Structure

Factorization String 3^2 × 383 × 1723
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,606,208
Proper Divisor Sum 2,667,027
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5939179 ← → #5939209

Radix Representation

Decimal 5939181
Binary 10110101001111111101101 (23 bits)
Octal 0o26517755
Hexadecimal 0x5A9FED

Divisor Catalog (12)

1 3 9 383 1,149 1,723 3,447 5,169 15,507 659,909 1,979,727 5,939,181

Collatz Trajectory (170 steps to reach 1)

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

5,939,181 17,817,544 8,908,772 4,454,386 2,227,193 6,681,580 3,340,790 1,670,395 5,011,186 2,505,593 7,516,780 3,758,390 1,879,195 5,637,586 2,818,793 8,456,380 4,228,190 2,114,095 6,342,286 3,171,143 9,513,430 4,756,715 14,270,146 7,135,073 21,405,220 10,702,610 5,351,305 16,053,916 8,026,958 4,013,479 12,040,438 6,020,219 18,060,658 9,030,329 27,090,988 13,545,494 6,772,747 20,318,242 10,159,121 30,477,364 15,238,682 7,619,341 22,858,024 11,429,012 5,714,506 2,857,253 8,571,760 4,285,880 2,142,940 1,071,470 535,735 1,607,206 803,603 2,410,810 1,205,405 3,616,216 1,808,108 904,054 452,027 1,356,082

More profiles

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