λ
Harmonic Matrix

3,979,058

2 × 1171 × 1699
Deficient Even Composite

3,979,058 has digital root 5. The neighboring primes are 3979043 and 3979117; its proper-divisor sum differs from the starting integer by -1,980,916.

Prime Factor Structure

Factorization String 2 × 1171 × 1699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,977,200
Proper Divisor Sum 1,998,142
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3979043 ← → #3979117

Radix Representation

Decimal 3979058
Binary 1111001011011100110010 (22 bits)
Octal 0o17133462
Hexadecimal 0x3CB732

Divisor Catalog (8)

1 2 1,171 1,699 2,342 3,398 1,989,529 3,979,058

Collatz Trajectory (123 steps to reach 1)

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

3,979,058 1,989,529 5,968,588 2,984,294 1,492,147 4,476,442 2,238,221 6,714,664 3,357,332 1,678,666 839,333 2,518,000 1,259,000 629,500 314,750 157,375 472,126 236,063 708,190 354,095 1,062,286 531,143 1,593,430 796,715 2,390,146 1,195,073 3,585,220 1,792,610 896,305 2,688,916 1,344,458 672,229 2,016,688 1,008,344 504,172 252,086 126,043 378,130 189,065 567,196 283,598 141,799 425,398 212,699 638,098 319,049 957,148 478,574 239,287 717,862 358,931 1,076,794 538,397 1,615,192 807,596 403,798 201,899 605,698 302,849 908,548

More profiles

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