λ
Prime Ledger

708,290

2 × 5 × 11 × 47 × 137
Abundant Even Composite

708,290 has the prime decomposition 2 × 5 × 11 × 47 × 137. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 47 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,430,784
Proper Divisor Sum 722,494
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #708287 ← → #708293

Radix Representation

Decimal 708290
Binary 10101100111011000010 (20 bits)
Octal 0o2547302
Hexadecimal 0xACEC2

Divisor Catalog (32)

1 2 5 10 11 22 47 55 94 110 137 235 274 470 517 685 1,034 1,370 1,507 2,585 3,014 5,170 6,439 7,535 12,878 15,070 32,195 64,390 70,829 141,658 354,145 708,290

Collatz Trajectory (105 steps to reach 1)

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

708,290 354,145 1,062,436 531,218 265,609 796,828 398,414 199,207 597,622 298,811 896,434 448,217 1,344,652 672,326 336,163 1,008,490 504,245 1,512,736 756,368 378,184 189,092 94,546 47,273 141,820 70,910 35,455 106,366 53,183 159,550 79,775 239,326 119,663 358,990 179,495 538,486 269,243 807,730 403,865 1,211,596 605,798 302,899 908,698 454,349 1,363,048 681,524 340,762 170,381 511,144 255,572 127,786 63,893 191,680 95,840 47,920 23,960 11,980 5,990 2,995 8,986 4,493

More profiles

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