λ
Integer Codex

708,380

22 × 5 × 35419
Abundant Even Composite

For 708,380, the 12 positive divisors have a total of 1,487,640. Removing 708,380 leaves 779,260, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 35419
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,487,640
Proper Divisor Sum 779,260
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #708371 ← → #708403

Radix Representation

Decimal 708380
Binary 10101100111100011100 (20 bits)
Octal 0o2547434
Hexadecimal 0xACF1C

Divisor Catalog (12)

1 2 4 5 10 20 35,419 70,838 141,676 177,095 354,190 708,380

Collatz Trajectory (211 steps to reach 1)

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

708,380 354,190 177,095 531,286 265,643 796,930 398,465 1,195,396 597,698 298,849 896,548 448,274 224,137 672,412 336,206 168,103 504,310 252,155 756,466 378,233 1,134,700 567,350 283,675 851,026 425,513 1,276,540 638,270 319,135 957,406 478,703 1,436,110 718,055 2,154,166 1,077,083 3,231,250 1,615,625 4,846,876 2,423,438 1,211,719 3,635,158 1,817,579 5,452,738 2,726,369 8,179,108 4,089,554 2,044,777 6,134,332 3,067,166 1,533,583 4,600,750 2,300,375 6,901,126 3,450,563 10,351,690 5,175,845 15,527,536 7,763,768 3,881,884 1,940,942 970,471

More profiles

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