λ
Harmonic Matrix

8,267,533

8267533
Deficient Odd Prime

8,267,533 has digital root 7. The neighboring primes are 8267521 and 8267543; its proper-divisor sum differs from the starting integer by -8,267,532.

Prime Factor Structure

Factorization String 8267533
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,267,534
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8267521 ← → #8267543

Radix Representation

Decimal 8267533
Binary 11111100010011100001101 (23 bits)
Octal 0o37423415
Hexadecimal 0x7E270D

Divisor Catalog (2)

Collatz Trajectory (212 steps to reach 1)

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

8,267,533 24,802,600 12,401,300 6,200,650 3,100,325 9,300,976 4,650,488 2,325,244 1,162,622 581,311 1,743,934 871,967 2,615,902 1,307,951 3,923,854 1,961,927 5,885,782 2,942,891 8,828,674 4,414,337 13,243,012 6,621,506 3,310,753 9,932,260 4,966,130 2,483,065 7,449,196 3,724,598 1,862,299 5,586,898 2,793,449 8,380,348 4,190,174 2,095,087 6,285,262 3,142,631 9,427,894 4,713,947 14,141,842 7,070,921 21,212,764 10,606,382 5,303,191 15,909,574 7,954,787 23,864,362 11,932,181 35,796,544 17,898,272 8,949,136 4,474,568 2,237,284 1,118,642 559,321 1,677,964 838,982 419,491 1,258,474 629,237 1,887,712

More profiles

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