λ
Harmonic Matrix

8,409,518

2 × 13 × 323443
Deficient Even Composite

8,409,518 has digital root 8. The neighboring primes are 8409497 and 8409523; its proper-divisor sum differs from the starting integer by -3,234,388.

Prime Factor Structure

Factorization String 2 × 13 × 323443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,584,648
Proper Divisor Sum 5,175,130
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8409497 ← → #8409523

Radix Representation

Decimal 8409518
Binary 100000000101000110101110 (24 bits)
Octal 0o40050656
Hexadecimal 0x8051AE

Divisor Catalog (8)

1 2 13 26 323,443 646,886 4,204,759 8,409,518

Collatz Trajectory (129 steps to reach 1)

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

8,409,518 4,204,759 12,614,278 6,307,139 18,921,418 9,460,709 28,382,128 14,191,064 7,095,532 3,547,766 1,773,883 5,321,650 2,660,825 7,982,476 3,991,238 1,995,619 5,986,858 2,993,429 8,980,288 4,490,144 2,245,072 1,122,536 561,268 280,634 140,317 420,952 210,476 105,238 52,619 157,858 78,929 236,788 118,394 59,197 177,592 88,796 44,398 22,199 66,598 33,299 99,898 49,949 149,848 74,924 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416 23,708 11,854 5,927 17,782 8,891

More profiles

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