λ
Harmonic Matrix

8,039,492

22 × 2009873
Deficient Even Composite

8,039,492 has digital root 8. The neighboring primes are 8039461 and 8039497; its proper-divisor sum differs from the starting integer by -2,009,866.

Prime Factor Structure

Factorization String 2^2 × 2009873
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,069,118
Proper Divisor Sum 6,029,626
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8039461 ← → #8039497

Radix Representation

Decimal 8039492
Binary 11110101010110001000100 (23 bits)
Octal 0o36526104
Hexadecimal 0x7AAC44

Divisor Catalog (6)

1 2 4 2,009,873 4,019,746 8,039,492

Collatz Trajectory (62 steps to reach 1)

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

8,039,492 4,019,746 2,009,873 6,029,620 3,014,810 1,507,405 4,522,216 2,261,108 1,130,554 565,277 1,695,832 847,916 423,958 211,979 635,938 317,969 953,908 476,954 238,477 715,432 357,716 178,858 89,429 268,288 134,144 67,072 33,536 16,768 8,384 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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