λ
Integer Codex

581,230

2 × 5 × 13 × 17 × 263
Abundant Even Composite

For 581,230, the 32 positive divisors have a total of 1,197,504. Removing 581,230 leaves 616,274, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,197,504
Proper Divisor Sum 616,274
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #581227 ← → #581237

Radix Representation

Decimal 581230
Binary 10001101111001101110 (20 bits)
Octal 0o2157156
Hexadecimal 0x8DE6E

Divisor Catalog (32)

1 2 5 10 13 17 26 34 65 85 130 170 221 263 442 526 1,105 1,315 2,210 2,630 3,419 4,471 6,838 8,942 17,095 22,355 34,190 44,710 58,123 116,246 290,615 581,230

Collatz Trajectory (159 steps to reach 1)

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

581,230 290,615 871,846 435,923 1,307,770 653,885 1,961,656 980,828 490,414 245,207 735,622 367,811 1,103,434 551,717 1,655,152 827,576 413,788 206,894 103,447 310,342 155,171 465,514 232,757 698,272 349,136 174,568 87,284 43,642 21,821 65,464 32,732 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689

More profiles

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