8,008,214

2 × 331 × 12097

For 8,008,214, the 8 positive divisors have a total of 12,049,608. Removing 8,008,214 leaves 4,041,394, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 331 × 12097

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,049,608

Proper Divisor Sum 4,041,394

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8008211 ← → #8008229

Radix Representation

Decimal	8008214
Binary	11110100011001000010110 (23 bits)
Octal	0o36431026
Hexadecimal	0x7A3216

Divisor Catalog (8)

1 2 331 662 12,097 24,194 4,004,107 8,008,214

Collatz Trajectory (261 steps to reach 1)

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

8,008,214 4,004,107 12,012,322 6,006,161 18,018,484 9,009,242 4,504,621 13,513,864 6,756,932 3,378,466 1,689,233 5,067,700 2,533,850 1,266,925 3,800,776 1,900,388 950,194 475,097 1,425,292 712,646 356,323 1,068,970 534,485 1,603,456 801,728 400,864 200,432 100,216 50,108 25,054 12,527 37,582 18,791 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797

← Previous Integer #8,008,213 Browse Full Index Next Integer #8,008,215 →