λ
Harmonic Matrix

1,442,267

1442267
Deficient Odd Prime

1,442,267 has digital root 8. The neighboring primes are 1442251 and 1442279; its proper-divisor sum differs from the starting integer by -1,442,266.

Prime Factor Structure

Factorization String 1442267
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,442,268
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1442251 ← → #1442279

Radix Representation

Decimal 1442267
Binary 101100000000111011011 (21 bits)
Octal 0o5400733
Hexadecimal 0x1601DB

Divisor Catalog (2)

Collatz Trajectory (93 steps to reach 1)

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

1,442,267 4,326,802 2,163,401 6,490,204 3,245,102 1,622,551 4,867,654 2,433,827 7,301,482 3,650,741 10,952,224 5,476,112 2,738,056 1,369,028 684,514 342,257 1,026,772 513,386 256,693 770,080 385,040 192,520 96,260 48,130 24,065 72,196 36,098 18,049 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703 77,110 38,555 115,666 57,833 173,500 86,750 43,375 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386

More profiles

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