λ
Harmonic Matrix

1,267,841

67 × 127 × 149
Deficient Odd Composite

1,267,841 has digital root 2. The neighboring primes are 1267837 and 1267859; its proper-divisor sum differs from the starting integer by -1,230,082.

Prime Factor Structure

Factorization String 67 × 127 × 149
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,305,600
Proper Divisor Sum 37,759
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1267837 ← → #1267859

Radix Representation

Decimal 1267841
Binary 100110101100010000001 (21 bits)
Octal 0o4654201
Hexadecimal 0x135881

Divisor Catalog (8)

1 67 127 149 8,509 9,983 18,923 1,267,841

Collatz Trajectory (80 steps to reach 1)

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

1,267,841 3,803,524 1,901,762 950,881 2,852,644 1,426,322 713,161 2,139,484 1,069,742 534,871 1,604,614 802,307 2,406,922 1,203,461 3,610,384 1,805,192 902,596 451,298 225,649 676,948 338,474 169,237 507,712 253,856 126,928 63,464 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224

More profiles

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