λ
Harmonic Matrix

6,764,089

89 × 76001
Deficient Odd Composite

6,764,089 has digital root 4. The neighboring primes are 6764083 and 6764111; its proper-divisor sum differs from the starting integer by -6,687,998.

Prime Factor Structure

Factorization String 89 × 76001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,840,180
Proper Divisor Sum 76,091
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6764083 ← → #6764111

Radix Representation

Decimal 6764089
Binary 11001110011011000111001 (23 bits)
Octal 0o31633071
Hexadecimal 0x673639

Divisor Catalog (4)

1 89 76,001 6,764,089

Collatz Trajectory (160 steps to reach 1)

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

6,764,089 20,292,268 10,146,134 5,073,067 15,219,202 7,609,601 22,828,804 11,414,402 5,707,201 17,121,604 8,560,802 4,280,401 12,841,204 6,420,602 3,210,301 9,630,904 4,815,452 2,407,726 1,203,863 3,611,590 1,805,795 5,417,386 2,708,693 8,126,080 4,063,040 2,031,520 1,015,760 507,880 253,940 126,970 63,485 190,456 95,228 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506

More profiles

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