λ
Harmonic Matrix

28,534

2 × 11 × 1297
Deficient Even Composite

28,534 has digital root 4. The neighboring primes are 28517 and 28537; its proper-divisor sum differs from the starting integer by -10,340.

Prime Factor Structure

Factorization String 2 × 11 × 1297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 46,728
Proper Divisor Sum 18,194
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #28517 ← → #28537

Radix Representation

Decimal 28534
Binary 110111101110110 (15 bits)
Octal 0o67566
Hexadecimal 0x6F76

Divisor Catalog (8)

1 2 11 22 1,297 2,594 14,267 28,534

Collatz Trajectory (51 steps to reach 1)

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

28,534 14,267 42,802 21,401 64,204 32,102 16,051 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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