λ
Harmonic Matrix

532,267

532267
Deficient Odd Prime

532,267 has digital root 7. The neighboring primes are 532261 and 532277; its proper-divisor sum differs from the starting integer by -532,266.

Prime Factor Structure

Factorization String 532267
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 532,268
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #532261 ← → #532277

Radix Representation

Decimal 532267
Binary 10000001111100101011 (20 bits)
Octal 0o2017453
Hexadecimal 0x81F2B

Divisor Catalog (2)

Collatz Trajectory (208 steps to reach 1)

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

532,267 1,596,802 798,401 2,395,204 1,197,602 598,801 1,796,404 898,202 449,101 1,347,304 673,652 336,826 168,413 505,240 252,620 126,310 63,155 189,466 94,733 284,200 142,100 71,050 35,525 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302

More profiles

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