λ
Harmonic Matrix

8,578,359

33 × 317717
Deficient Odd Composite

8,578,359 has digital root 9. The neighboring primes are 8578343 and 8578363; its proper-divisor sum differs from the starting integer by -4,447,998.

Prime Factor Structure

Factorization String 3^3 × 317717
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,708,720
Proper Divisor Sum 4,130,361
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8578343 ← → #8578363

Radix Representation

Decimal 8578359
Binary 100000101110010100110111 (24 bits)
Octal 0o40562467
Hexadecimal 0x82E537

Divisor Catalog (8)

1 3 9 27 317,717 953,151 2,859,453 8,578,359

Collatz Trajectory (150 steps to reach 1)

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

8,578,359 25,735,078 12,867,539 38,602,618 19,301,309 57,903,928 28,951,964 14,475,982 7,237,991 21,713,974 10,856,987 32,570,962 16,285,481 48,856,444 24,428,222 12,214,111 36,642,334 18,321,167 54,963,502 27,481,751 82,445,254 41,222,627 123,667,882 61,833,941 185,501,824 92,750,912 46,375,456 23,187,728 11,593,864 5,796,932 2,898,466 1,449,233 4,347,700 2,173,850 1,086,925 3,260,776 1,630,388 815,194 407,597 1,222,792 611,396 305,698 152,849 458,548 229,274 114,637 343,912 171,956 85,978 42,989 128,968 64,484 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412

More profiles

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