λ
Harmonic Matrix

7,675,394

2 × 101 × 37997
Deficient Even Composite

7,675,394 has digital root 5. The neighboring primes are 7675363 and 7675427; its proper-divisor sum differs from the starting integer by -3,723,400.

Prime Factor Structure

Factorization String 2 × 101 × 37997
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,627,388
Proper Divisor Sum 3,951,994
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7675363 ← → #7675427

Radix Representation

Decimal 7675394
Binary 11101010001111000000010 (23 bits)
Octal 0o35217002
Hexadecimal 0x751E02

Divisor Catalog (8)

1 2 101 202 37,997 75,994 3,837,697 7,675,394

Collatz Trajectory (80 steps to reach 1)

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

7,675,394 3,837,697 11,513,092 5,756,546 2,878,273 8,634,820 4,317,410 2,158,705 6,476,116 3,238,058 1,619,029 4,857,088 2,428,544 1,214,272 607,136 303,568 151,784 75,892 37,946 18,973 56,920 28,460 14,230 7,115 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

More profiles

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