λ
Harmonic Matrix

6,009,019

181 × 33199
Deficient Odd Composite

6,009,019 has digital root 7. The neighboring primes are 6009011 and 6009037; its proper-divisor sum differs from the starting integer by -5,975,638.

Prime Factor Structure

Factorization String 181 × 33199
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,042,400
Proper Divisor Sum 33,381
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6009011 ← → #6009037

Radix Representation

Decimal 6009019
Binary 10110111011000010111011 (23 bits)
Octal 0o26730273
Hexadecimal 0x5BB0BB

Divisor Catalog (4)

1 181 33,199 6,009,019

Collatz Trajectory (113 steps to reach 1)

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

6,009,019 18,027,058 9,013,529 27,040,588 13,520,294 6,760,147 20,280,442 10,140,221 30,420,664 15,210,332 7,605,166 3,802,583 11,407,750 5,703,875 17,111,626 8,555,813 25,667,440 12,833,720 6,416,860 3,208,430 1,604,215 4,812,646 2,406,323 7,218,970 3,609,485 10,828,456 5,414,228 2,707,114 1,353,557 4,060,672 2,030,336 1,015,168 507,584 253,792 126,896 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122

More profiles

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