228,470

2 × 5 × 11 × 31 × 67

228,470 has the prime decomposition 2 × 5 × 11 × 31 × 67. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 31 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 470,016

Proper Divisor Sum 241,546

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #228469 ← → #228479

Radix Representation

Decimal	228470
Binary	110111110001110110 (18 bits)
Octal	0o676166
Hexadecimal	0x37C76

Divisor Catalog (32)

1 2 5 10 11 22 31 55 62 67 110 134 155 310 335 341 670 682 737 1,474 1,705 2,077 3,410 3,685 4,154 7,370 10,385 20,770 22,847 45,694 114,235 228,470

Collatz Trajectory (106 steps to reach 1)

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

228,470 114,235 342,706 171,353 514,060 257,030 128,515 385,546 192,773 578,320 289,160 144,580 72,290 36,145 108,436 54,218 27,109 81,328 40,664 20,332 10,166 5,083 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 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

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