λ
Harmonic Matrix

21,176

23 × 2647
Deficient Even Composite

21,176 has digital root 8. The neighboring primes are 21169 and 21179; its proper-divisor sum differs from the starting integer by -2,632.

Prime Factor Structure

Factorization String 2^3 × 2647
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 39,720
Proper Divisor Sum 18,544
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #21169 ← → #21179

Radix Representation

Decimal 21176
Binary 101001010111000 (15 bits)
Octal 0o51270
Hexadecimal 0x52B8

Divisor Catalog (8)

1 2 4 8 2,647 5,294 10,588 21,176

Collatz Trajectory (56 steps to reach 1)

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

21,176 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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