λ
Prime Ledger

22,570

2 × 5 × 37 × 61
Deficient Even Composite

22,570 has the prime decomposition 2 × 5 × 37 × 61. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 42,408
Proper Divisor Sum 19,838
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #22567 ← → #22571

Radix Representation

Decimal 22570
Binary 101100000101010 (15 bits)
Octal 0o54052
Hexadecimal 0x582A

Divisor Catalog (16)

1 2 5 10 37 61 74 122 185 305 370 610 2,257 4,514 11,285 22,570

Collatz Trajectory (38 steps to reach 1)

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

22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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