λ
Harmonic Matrix

1,309,173

3 × 181 × 2411
Deficient Odd Composite

1,309,173 has digital root 6. The neighboring primes are 1309163 and 1309177; its proper-divisor sum differs from the starting integer by -862,410.

Prime Factor Structure

Factorization String 3 × 181 × 2411
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,755,936
Proper Divisor Sum 446,763
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1309163 ← → #1309177

Radix Representation

Decimal 1309173
Binary 100111111100111110101 (21 bits)
Octal 0o4774765
Hexadecimal 0x13F9F5

Divisor Catalog (8)

1 3 181 543 2,411 7,233 436,391 1,309,173

Collatz Trajectory (186 steps to reach 1)

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

1,309,173 3,927,520 1,963,760 981,880 490,940 245,470 122,735 368,206 184,103 552,310 276,155 828,466 414,233 1,242,700 621,350 310,675 932,026 466,013 1,398,040 699,020 349,510 174,755 524,266 262,133 786,400 393,200 196,600 98,300 49,150 24,575 73,726 36,863 110,590 55,295 165,886 82,943 248,830 124,415 373,246 186,623 559,870 279,935 839,806 419,903 1,259,710 629,855 1,889,566 944,783 2,834,350 1,417,175 4,251,526 2,125,763 6,377,290 3,188,645 9,565,936 4,782,968 2,391,484 1,195,742 597,871 1,793,614

More profiles

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