λ
Harmonic Matrix

8,047,684

22 × 107 × 18803
Deficient Even Composite

8,047,684 has digital root 1. The neighboring primes are 8047657 and 8047687; its proper-divisor sum differs from the starting integer by -1,879,544.

Prime Factor Structure

Factorization String 2^2 × 107 × 18803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,215,824
Proper Divisor Sum 6,168,140
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8047657 ← → #8047687

Radix Representation

Decimal 8047684
Binary 11110101100110001000100 (23 bits)
Octal 0o36546104
Hexadecimal 0x7ACC44

Divisor Catalog (12)

1 2 4 107 214 428 18,803 37,606 75,212 2,011,921 4,023,842 8,047,684

Collatz Trajectory (93 steps to reach 1)

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

8,047,684 4,023,842 2,011,921 6,035,764 3,017,882 1,508,941 4,526,824 2,263,412 1,131,706 565,853 1,697,560 848,780 424,390 212,195 636,586 318,293 954,880 477,440 238,720 119,360 59,680 29,840 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238

More profiles

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