λ
Harmonic Matrix

1,591,982

2 × 7 × 17 × 6689
Deficient Even Composite

1,591,982 has digital root 8. The neighboring primes are 1591981 and 1592027; its proper-divisor sum differs from the starting integer by -293,884.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 6689
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,890,080
Proper Divisor Sum 1,298,098
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1591981 ← → #1592027

Radix Representation

Decimal 1591982
Binary 110000100101010101110 (21 bits)
Octal 0o6045256
Hexadecimal 0x184AAE

Divisor Catalog (16)

1 2 7 14 17 34 119 238 6,689 13,378 46,823 93,646 113,713 227,426 795,991 1,591,982

Collatz Trajectory (101 steps to reach 1)

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

1,591,982 795,991 2,387,974 1,193,987 3,581,962 1,790,981 5,372,944 2,686,472 1,343,236 671,618 335,809 1,007,428 503,714 251,857 755,572 377,786 188,893 566,680 283,340 141,670 70,835 212,506 106,253 318,760 159,380 79,690 39,845 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100

More profiles

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