λ
Harmonic Matrix

1,382,958

2 × 32 × 76831
Abundant Even Composite

1,382,958 has digital root 9. The neighboring primes are 1382957 and 1382959; its proper-divisor sum differs from the starting integer by 230,532.

Prime Factor Structure

Factorization String 2 × 3^2 × 76831
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,996,448
Proper Divisor Sum 1,613,490
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1382957 ← → #1382959

Radix Representation

Decimal 1382958
Binary 101010001101000101110 (21 bits)
Octal 0o5215056
Hexadecimal 0x151A2E

Divisor Catalog (12)

1 2 3 6 9 18 76,831 153,662 230,493 460,986 691,479 1,382,958

Collatz Trajectory (199 steps to reach 1)

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

1,382,958 691,479 2,074,438 1,037,219 3,111,658 1,555,829 4,667,488 2,333,744 1,166,872 583,436 291,718 145,859 437,578 218,789 656,368 328,184 164,092 82,046 41,023 123,070 61,535 184,606 92,303 276,910 138,455 415,366 207,683 623,050 311,525 934,576 467,288 233,644 116,822 58,411 175,234 87,617 262,852 131,426 65,713 197,140 98,570 49,285 147,856 73,928 36,964 18,482 9,241 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774

More profiles

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