λ
Harmonic Matrix

7,055,811

32 × 7 × 111997
Deficient Odd Composite

7,055,811 has digital root 9. The neighboring primes are 7055803 and 7055819; its proper-divisor sum differs from the starting integer by -2,463,830.

Prime Factor Structure

Factorization String 3^2 × 7 × 111997
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,647,792
Proper Divisor Sum 4,591,981
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7055803 ← → #7055819

Radix Representation

Decimal 7055811
Binary 11010111010100111000011 (23 bits)
Octal 0o32724703
Hexadecimal 0x6BA9C3

Divisor Catalog (12)

1 3 7 9 21 63 111,997 335,991 783,979 1,007,973 2,351,937 7,055,811

Collatz Trajectory (204 steps to reach 1)

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

7,055,811 21,167,434 10,583,717 31,751,152 15,875,576 7,937,788 3,968,894 1,984,447 5,953,342 2,976,671 8,930,014 4,465,007 13,395,022 6,697,511 20,092,534 10,046,267 30,138,802 15,069,401 45,208,204 22,604,102 11,302,051 33,906,154 16,953,077 50,859,232 25,429,616 12,714,808 6,357,404 3,178,702 1,589,351 4,768,054 2,384,027 7,152,082 3,576,041 10,728,124 5,364,062 2,682,031 8,046,094 4,023,047 12,069,142 6,034,571 18,103,714 9,051,857 27,155,572 13,577,786 6,788,893 20,366,680 10,183,340 5,091,670 2,545,835 7,637,506 3,818,753 11,456,260 5,728,130 2,864,065 8,592,196 4,296,098 2,148,049 6,444,148 3,222,074 1,611,037

More profiles

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