λ
Harmonic Matrix

7,567,194

2 × 3 × 1261199
Abundant Even Composite

7,567,194 has digital root 3. The neighboring primes are 7567171 and 7567201; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1261199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,134,400
Proper Divisor Sum 7,567,206
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7567171 ← → #7567201

Radix Representation

Decimal 7567194
Binary 11100110111011101011010 (23 bits)
Octal 0o34673532
Hexadecimal 0x73775A

Divisor Catalog (8)

1 2 3 6 1,261,199 2,522,398 3,783,597 7,567,194

Collatz Trajectory (173 steps to reach 1)

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

7,567,194 3,783,597 11,350,792 5,675,396 2,837,698 1,418,849 4,256,548 2,128,274 1,064,137 3,192,412 1,596,206 798,103 2,394,310 1,197,155 3,591,466 1,795,733 5,387,200 2,693,600 1,346,800 673,400 336,700 168,350 84,175 252,526 126,263 378,790 189,395 568,186 284,093 852,280 426,140 213,070 106,535 319,606 159,803 479,410 239,705 719,116 359,558 179,779 539,338 269,669 809,008 404,504 202,252 101,126 50,563 151,690 75,845 227,536 113,768 56,884 28,442 14,221 42,664 21,332 10,666 5,333 16,000 8,000

More profiles

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