120,405

3 × 5 × 23 × 349

For 120,405, the 16 positive divisors have a total of 201,600. Removing 120,405 leaves 81,195, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 201,600

Proper Divisor Sum 81,195

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #120401 ← → #120413

Radix Representation

Decimal	120405
Binary	11101011001010101 (17 bits)
Octal	0o353125
Hexadecimal	0x1D655

Divisor Catalog (16)

1 3 5 15 23 69 115 345 349 1,047 1,745 5,235 8,027 24,081 40,135 120,405

Collatz Trajectory (43 steps to reach 1)

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

120,405 361,216 180,608 90,304 45,152 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 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

← Previous Integer #120,404 Browse Full Index Next Integer #120,406 →