λ
Harmonic Matrix

7,180,186

2 × 13 × 23 × 12007
Deficient Even Composite

7,180,186 has digital root 4. The neighboring primes are 7180177 and 7180193; its proper-divisor sum differs from the starting integer by -2,256,308.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 12007
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,104,064
Proper Divisor Sum 4,923,878
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7180177 ← → #7180193

Radix Representation

Decimal 7180186
Binary 11011011000111110011010 (23 bits)
Octal 0o33307632
Hexadecimal 0x6D8F9A

Divisor Catalog (16)

1 2 13 23 26 46 299 598 12,007 24,014 156,091 276,161 312,182 552,322 3,590,093 7,180,186

Collatz Trajectory (147 steps to reach 1)

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

7,180,186 3,590,093 10,770,280 5,385,140 2,692,570 1,346,285 4,038,856 2,019,428 1,009,714 504,857 1,514,572 757,286 378,643 1,135,930 567,965 1,703,896 851,948 425,974 212,987 638,962 319,481 958,444 479,222 239,611 718,834 359,417 1,078,252 539,126 269,563 808,690 404,345 1,213,036 606,518 303,259 909,778 454,889 1,364,668 682,334 341,167 1,023,502 511,751 1,535,254 767,627 2,302,882 1,151,441 3,454,324 1,727,162 863,581 2,590,744 1,295,372 647,686 323,843 971,530 485,765 1,457,296 728,648 364,324 182,162 91,081 273,244

More profiles

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