λ
Harmonic Matrix

3,976,095

3 × 5 × 139 × 1907
Deficient Odd Composite

3,976,095 has digital root 3. The neighboring primes are 3976087 and 3976097; its proper-divisor sum differs from the starting integer by -1,541,310.

Prime Factor Structure

Factorization String 3 × 5 × 139 × 1907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,410,880
Proper Divisor Sum 2,434,785
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3976087 ← → #3976097

Radix Representation

Decimal 3976095
Binary 1111001010101110011111 (22 bits)
Octal 0o17125637
Hexadecimal 0x3CAB9F

Divisor Catalog (16)

1 3 5 15 139 417 695 1,907 2,085 5,721 9,535 28,605 265,073 795,219 1,325,365 3,976,095

Collatz Trajectory (154 steps to reach 1)

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

3,976,095 11,928,286 5,964,143 17,892,430 8,946,215 26,838,646 13,419,323 40,257,970 20,128,985 60,386,956 30,193,478 15,096,739 45,290,218 22,645,109 67,935,328 33,967,664 16,983,832 8,491,916 4,245,958 2,122,979 6,368,938 3,184,469 9,553,408 4,776,704 2,388,352 1,194,176 597,088 298,544 149,272 74,636 37,318 18,659 55,978 27,989 83,968 41,984 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

More profiles

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