322,800

2⁴ × 3 × 5² × 269

322,800 has the prime decomposition 2^4 × 3 × 5^2 × 269. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,037,880

Proper Divisor Sum 715,080

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #322783 ← → #322807

Radix Representation

Decimal	322800
Binary	1001110110011110000 (19 bits)
Octal	0o1166360
Hexadecimal	0x4ECF0

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 269 300 400 538 600 807 1,076 1,200 1,345 1,614 2,152 2,690 3,228 4,035 4,304 5,380 6,456 6,725 8,070 10,760 12,912 13,450 16,140 20,175 21,520 26,900 32,280 40,350 53,800 64,560 80,700 107,600 161,400 322,800

Collatz Trajectory (228 steps to reach 1)

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

322,800 161,400 80,700 40,350 20,175 60,526 30,263 90,790 45,395 136,186 68,093 204,280 102,140 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870 145,435 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135 1,104,406 552,203 1,656,610 828,305 2,484,916 1,242,458 621,229 1,863,688 931,844 465,922 232,961 698,884 349,442 174,721 524,164 262,082 131,041 393,124 196,562 98,281 294,844 147,422 73,711

← Previous Integer #322,799 Browse Full Index Next Integer #322,801 →