λ
Harmonic Matrix

8,378,247

3 × 2792749
Deficient Odd Composite

8,378,247 has digital root 3. The neighboring primes are 8378239 and 8378257; its proper-divisor sum differs from the starting integer by -5,585,494.

Prime Factor Structure

Factorization String 3 × 2792749
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,171,000
Proper Divisor Sum 2,792,753
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8378239 ← → #8378257

Radix Representation

Decimal 8378247
Binary 11111111101011110000111 (23 bits)
Octal 0o37753607
Hexadecimal 0x7FD787

Divisor Catalog (4)

1 3 2,792,749 8,378,247

Collatz Trajectory (181 steps to reach 1)

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

8,378,247 25,134,742 12,567,371 37,702,114 18,851,057 56,553,172 28,276,586 14,138,293 42,414,880 21,207,440 10,603,720 5,301,860 2,650,930 1,325,465 3,976,396 1,988,198 994,099 2,982,298 1,491,149 4,473,448 2,236,724 1,118,362 559,181 1,677,544 838,772 419,386 209,693 629,080 314,540 157,270 78,635 235,906 117,953 353,860 176,930 88,465 265,396 132,698 66,349 199,048 99,524 49,762 24,881 74,644 37,322 18,661 55,984 27,992 13,996 6,998 3,499 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860

More profiles

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