λ
Harmonic Matrix

8,080,055

5 × 587 × 2753
Deficient Odd Composite

8,080,055 has digital root 8. The neighboring primes are 8080027 and 8080063; its proper-divisor sum differs from the starting integer by -6,443,998.

Prime Factor Structure

Factorization String 5 × 587 × 2753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,716,112
Proper Divisor Sum 1,636,057
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8080027 ← → #8080063

Radix Representation

Decimal 8080055
Binary 11110110100101010110111 (23 bits)
Octal 0o36645267
Hexadecimal 0x7B4AB7

Divisor Catalog (8)

1 5 587 2,753 2,935 13,765 1,616,011 8,080,055

Collatz Trajectory (230 steps to reach 1)

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

8,080,055 24,240,166 12,120,083 36,360,250 18,180,125 54,540,376 27,270,188 13,635,094 6,817,547 20,452,642 10,226,321 30,678,964 15,339,482 7,669,741 23,009,224 11,504,612 5,752,306 2,876,153 8,628,460 4,314,230 2,157,115 6,471,346 3,235,673 9,707,020 4,853,510 2,426,755 7,280,266 3,640,133 10,920,400 5,460,200 2,730,100 1,365,050 682,525 2,047,576 1,023,788 511,894 255,947 767,842 383,921 1,151,764 575,882 287,941 863,824 431,912 215,956 107,978 53,989 161,968 80,984 40,492 20,246 10,123 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542

More profiles

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