λ
Harmonic Matrix

8,487,249

3 × 2829083
Deficient Odd Composite

8,487,249 has digital root 6. The neighboring primes are 8487239 and 8487293; its proper-divisor sum differs from the starting integer by -5,658,162.

Prime Factor Structure

Factorization String 3 × 2829083
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,316,336
Proper Divisor Sum 2,829,087
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8487239 ← → #8487293

Radix Representation

Decimal 8487249
Binary 100000011000000101010001 (24 bits)
Octal 0o40300521
Hexadecimal 0x818151

Divisor Catalog (4)

1 3 2,829,083 8,487,249

Collatz Trajectory (199 steps to reach 1)

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

8,487,249 25,461,748 12,730,874 6,365,437 19,096,312 9,548,156 4,774,078 2,387,039 7,161,118 3,580,559 10,741,678 5,370,839 16,112,518 8,056,259 24,168,778 12,084,389 36,253,168 18,126,584 9,063,292 4,531,646 2,265,823 6,797,470 3,398,735 10,196,206 5,098,103 15,294,310 7,647,155 22,941,466 11,470,733 34,412,200 17,206,100 8,603,050 4,301,525 12,904,576 6,452,288 3,226,144 1,613,072 806,536 403,268 201,634 100,817 302,452 151,226 75,613 226,840 113,420 56,710 28,355 85,066 42,533 127,600 63,800 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836

More profiles

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