λ
Harmonic Matrix

1,259,141

13 × 96857
Deficient Odd Composite

1,259,141 has digital root 5. The neighboring primes are 1259129 and 1259143; its proper-divisor sum differs from the starting integer by -1,162,270.

Prime Factor Structure

Factorization String 13 × 96857
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,356,012
Proper Divisor Sum 96,871
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1259129 ← → #1259143

Radix Representation

Decimal 1259141
Binary 100110011011010000101 (21 bits)
Octal 0o4633205
Hexadecimal 0x133685

Divisor Catalog (4)

1 13 96,857 1,259,141

Collatz Trajectory (54 steps to reach 1)

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

1,259,141 3,777,424 1,888,712 944,356 472,178 236,089 708,268 354,134 177,067 531,202 265,601 796,804 398,402 199,201 597,604 298,802 149,401 448,204 224,102 112,051 336,154 168,077 504,232 252,116 126,058 63,029 189,088 94,544 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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