322,280

2³ × 5 × 7 × 1151

Starting at 322,280, the Collatz iteration reaches 1 after 140 steps. The first transition is 161140; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 1151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 829,440

Proper Divisor Sum 507,160

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #322271 ← → #322319

Radix Representation

Decimal	322280
Binary	1001110101011101000 (19 bits)
Octal	0o1165350
Hexadecimal	0x4EAE8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1,151 2,302 4,604 5,755 8,057 9,208 11,510 16,114 23,020 32,228 40,285 46,040 64,456 80,570 161,140 322,280

Collatz Trajectory (140 steps to reach 1)

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

322,280 161,140 80,570 40,285 120,856 60,428 30,214 15,107 45,322 22,661 67,984 33,992 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350

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