λ
Harmonic Matrix

5,804,199

32 × 644911
Deficient Odd Composite

5,804,199 has digital root 9. The neighboring primes are 5804173 and 5804203; its proper-divisor sum differs from the starting integer by -3,224,542.

Prime Factor Structure

Factorization String 3^2 × 644911
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,383,856
Proper Divisor Sum 2,579,657
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5804173 ← → #5804203

Radix Representation

Decimal 5804199
Binary 10110001001000010100111 (23 bits)
Octal 0o26110247
Hexadecimal 0x5890A7

Divisor Catalog (6)

1 3 9 644,911 1,934,733 5,804,199

Collatz Trajectory (183 steps to reach 1)

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

5,804,199 17,412,598 8,706,299 26,118,898 13,059,449 39,178,348 19,589,174 9,794,587 29,383,762 14,691,881 44,075,644 22,037,822 11,018,911 33,056,734 16,528,367 49,585,102 24,792,551 74,377,654 37,188,827 111,566,482 55,783,241 167,349,724 83,674,862 41,837,431 125,512,294 62,756,147 188,268,442 94,134,221 282,402,664 141,201,332 70,600,666 35,300,333 105,901,000 52,950,500 26,475,250 13,237,625 39,712,876 19,856,438 9,928,219 29,784,658 14,892,329 44,676,988 22,338,494 11,169,247 33,507,742 16,753,871 50,261,614 25,130,807 75,392,422 37,696,211 113,088,634 56,544,317 169,632,952 84,816,476 42,408,238 21,204,119 63,612,358 31,806,179 95,418,538 47,709,269

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