λ
Harmonic Matrix

8,399,211

3 × 619 × 4523
Deficient Odd Composite

8,399,211 has digital root 6. The neighboring primes are 8399191 and 8399231; its proper-divisor sum differs from the starting integer by -5,578,902.

Prime Factor Structure

Factorization String 3 × 619 × 4523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,219,520
Proper Divisor Sum 2,820,309
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8399191 ← → #8399231

Radix Representation

Decimal 8399211
Binary 100000000010100101101011 (24 bits)
Octal 0o40024553
Hexadecimal 0x80296B

Divisor Catalog (8)

1 3 619 1,857 4,523 13,569 2,799,737 8,399,211

Collatz Trajectory (181 steps to reach 1)

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

8,399,211 25,197,634 12,598,817 37,796,452 18,898,226 9,449,113 28,347,340 14,173,670 7,086,835 21,260,506 10,630,253 31,890,760 15,945,380 7,972,690 3,986,345 11,959,036 5,979,518 2,989,759 8,969,278 4,484,639 13,453,918 6,726,959 20,180,878 10,090,439 30,271,318 15,135,659 45,406,978 22,703,489 68,110,468 34,055,234 17,027,617 51,082,852 25,541,426 12,770,713 38,312,140 19,156,070 9,578,035 28,734,106 14,367,053 43,101,160 21,550,580 10,775,290 5,387,645 16,162,936 8,081,468 4,040,734 2,020,367 6,061,102 3,030,551 9,091,654 4,545,827 13,637,482 6,818,741 20,456,224 10,228,112 5,114,056 2,557,028 1,278,514 639,257 1,917,772

More profiles

← Previous Integer #8,399,210 Browse Full Index Next Integer #8,399,212 →