λ
Harmonic Matrix

130,394

2 × 11 × 5927
Deficient Even Composite

130,394 has digital root 2. The neighboring primes are 130379 and 130399; its proper-divisor sum differs from the starting integer by -47,380.

Prime Factor Structure

Factorization String 2 × 11 × 5927
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 213,408
Proper Divisor Sum 83,014
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #130379 ← → #130399

Radix Representation

Decimal 130394
Binary 11111110101011010 (17 bits)
Octal 0o376532
Hexadecimal 0x1FD5A

Divisor Catalog (8)

1 2 11 22 5,927 11,854 65,197 130,394

Collatz Trajectory (43 steps to reach 1)

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

130,394 65,197 195,592 97,796 48,898 24,449 73,348 36,674 18,337 55,012 27,506 13,753 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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