λ
Harmonic Matrix

1,340,843

7 × 31 × 37 × 167
Deficient Odd Composite

1,340,843 has digital root 5. The neighboring primes are 1340837 and 1340861; its proper-divisor sum differs from the starting integer by -1,047,382.

Prime Factor Structure

Factorization String 7 × 31 × 37 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,634,304
Proper Divisor Sum 293,461
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1340837 ← → #1340861

Radix Representation

Decimal 1340843
Binary 101000111010110101011 (21 bits)
Octal 0o5072653
Hexadecimal 0x1475AB

Divisor Catalog (16)

1 7 31 37 167 217 259 1,147 1,169 5,177 6,179 8,029 36,239 43,253 191,549 1,340,843

Collatz Trajectory (137 steps to reach 1)

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

1,340,843 4,022,530 2,011,265 6,033,796 3,016,898 1,508,449 4,525,348 2,262,674 1,131,337 3,394,012 1,697,006 848,503 2,545,510 1,272,755 3,818,266 1,909,133 5,727,400 2,863,700 1,431,850 715,925 2,147,776 1,073,888 536,944 268,472 134,236 67,118 33,559 100,678 50,339 151,018 75,509 226,528 113,264 56,632 28,316 14,158 7,079 21,238 10,619 31,858 15,929 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507

More profiles

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