λ
Harmonic Matrix

8,403,994

2 × 107 × 173 × 227
Deficient Even Composite

8,403,994 has digital root 1. The neighboring primes are 8403977 and 8404013; its proper-divisor sum differs from the starting integer by -3,954,260.

Prime Factor Structure

Factorization String 2 × 107 × 173 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,853,728
Proper Divisor Sum 4,449,734
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8403977 ← → #8404013

Radix Representation

Decimal 8403994
Binary 100000000011110000011010 (24 bits)
Octal 0o40036032
Hexadecimal 0x803C1A

Divisor Catalog (16)

1 2 107 173 214 227 346 454 18,511 24,289 37,022 39,271 48,578 78,542 4,201,997 8,403,994

Collatz Trajectory (106 steps to reach 1)

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

8,403,994 4,201,997 12,605,992 6,302,996 3,151,498 1,575,749 4,727,248 2,363,624 1,181,812 590,906 295,453 886,360 443,180 221,590 110,795 332,386 166,193 498,580 249,290 124,645 373,936 186,968 93,484 46,742 23,371 70,114 35,057 105,172 52,586 26,293 78,880 39,440 19,720 9,860 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484

More profiles

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