164,800

2⁶ × 5² × 103

164,800 has the prime decomposition 2^6 × 5^2 × 103. Its 3 distinct prime factors produce 42 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5^2 × 103

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 409,448

Proper Divisor Sum 244,648

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #164789 ← → #164809

Radix Representation

Decimal	164800
Binary	101000001111000000 (18 bits)
Octal	0o501700
Hexadecimal	0x283C0

Divisor Catalog (42)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 160 200 206 320 400 412 515 800 824 1,030 1,600 1,648 2,060 2,575 3,296 4,120 5,150 6,592 8,240 10,300 16,480 20,600 32,960 41,200 82,400 164,800

Collatz Trajectory (152 steps to reach 1)

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

164,800 82,400 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

← Previous Integer #164,799 Browse Full Index Next Integer #164,801 →