λ
Harmonic Matrix

6,073,199

11 × 17 × 47 × 691
Deficient Odd Composite

6,073,199 has digital root 8. The neighboring primes are 6073183 and 6073201; its proper-divisor sum differs from the starting integer by -4,971,742.

Prime Factor Structure

Factorization String 11 × 17 × 47 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,174,656
Proper Divisor Sum 1,101,457
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6073183 ← → #6073201

Radix Representation

Decimal 6073199
Binary 10111001010101101101111 (23 bits)
Octal 0o27125557
Hexadecimal 0x5CAB6F

Divisor Catalog (16)

1 11 17 47 187 517 691 799 7,601 8,789 11,747 32,477 129,217 357,247 552,109 6,073,199

Collatz Trajectory (364 steps to reach 1)

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

6,073,199 18,219,598 9,109,799 27,329,398 13,664,699 40,994,098 20,497,049 61,491,148 30,745,574 15,372,787 46,118,362 23,059,181 69,177,544 34,588,772 17,294,386 8,647,193 25,941,580 12,970,790 6,485,395 19,456,186 9,728,093 29,184,280 14,592,140 7,296,070 3,648,035 10,944,106 5,472,053 16,416,160 8,208,080 4,104,040 2,052,020 1,026,010 513,005 1,539,016 769,508 384,754 192,377 577,132 288,566 144,283 432,850 216,425 649,276 324,638 162,319 486,958 243,479 730,438 365,219 1,095,658 547,829 1,643,488 821,744 410,872 205,436 102,718 51,359 154,078 77,039 231,118

More profiles

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