λ
Harmonic Matrix

1,346,190

2 × 3 × 5 × 23 × 1951
Abundant Even Composite

1,346,190 has digital root 6. The neighboring primes are 1346183 and 1346243; its proper-divisor sum differs from the starting integer by 680,676.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 23 × 1951
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,373,056
Proper Divisor Sum 2,026,866
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1346183 ← → #1346243

Radix Representation

Decimal 1346190
Binary 101001000101010001110 (21 bits)
Octal 0o5105216
Hexadecimal 0x148A8E

Divisor Catalog (32)

1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1,951 3,902 5,853 9,755 11,706 19,510 29,265 44,873 58,530 89,746 134,619 224,365 269,238 448,730 673,095 1,346,190

Collatz Trajectory (93 steps to reach 1)

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

1,346,190 673,095 2,019,286 1,009,643 3,028,930 1,514,465 4,543,396 2,271,698 1,135,849 3,407,548 1,703,774 851,887 2,555,662 1,277,831 3,833,494 1,916,747 5,750,242 2,875,121 8,625,364 4,312,682 2,156,341 6,469,024 3,234,512 1,617,256 808,628 404,314 202,157 606,472 303,236 151,618 75,809 227,428 113,714 56,857 170,572 85,286 42,643 127,930 63,965 191,896 95,948 47,974 23,987 71,962 35,981 107,944 53,972 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424

More profiles

← Previous Integer #1,346,189 Browse Full Index Next Integer #1,346,191 →