λ
Harmonic Matrix

18,076

22 × 4519
Deficient Even Composite

18,076 has digital root 4. The neighboring primes are 18061 and 18077; its proper-divisor sum differs from the starting integer by -4,512.

Prime Factor Structure

Factorization String 2^2 × 4519
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 31,640
Proper Divisor Sum 13,564
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #18061 ← → #18077

Radix Representation

Decimal 18076
Binary 100011010011100 (15 bits)
Octal 0o43234
Hexadecimal 0x469C

Divisor Catalog (6)

1 2 4 4,519 9,038 18,076

Collatz Trajectory (92 steps to reach 1)

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

18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692

More profiles

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