λ
Harmonic Matrix

1,296,182

2 × 17 × 67 × 569
Deficient Even Composite

1,296,182 has digital root 2. The neighboring primes are 1296181 and 1296187; its proper-divisor sum differs from the starting integer by -499,324.

Prime Factor Structure

Factorization String 2 × 17 × 67 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,093,040
Proper Divisor Sum 796,858
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1296181 ← → #1296187

Radix Representation

Decimal 1296182
Binary 100111100011100110110 (21 bits)
Octal 0o4743466
Hexadecimal 0x13C736

Divisor Catalog (16)

1 2 17 34 67 134 569 1,138 1,139 2,278 9,673 19,346 38,123 76,246 648,091 1,296,182

Collatz Trajectory (173 steps to reach 1)

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

1,296,182 648,091 1,944,274 972,137 2,916,412 1,458,206 729,103 2,187,310 1,093,655 3,280,966 1,640,483 4,921,450 2,460,725 7,382,176 3,691,088 1,845,544 922,772 461,386 230,693 692,080 346,040 173,020 86,510 43,255 129,766 64,883 194,650 97,325 291,976 145,988 72,994 36,497 109,492 54,746 27,373 82,120 41,060 20,530 10,265 30,796 15,398 7,699 23,098 11,549 34,648 17,324 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225

More profiles

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