λ
Integer Codex

708,717

3 × 101 × 2339
Deficient Odd Composite

For 708,717, the 8 positive divisors have a total of 954,720. Removing 708,717 leaves 246,003, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 101 × 2339
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 954,720
Proper Divisor Sum 246,003
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #708703 ← → #708733

Radix Representation

Decimal 708717
Binary 10101101000001101101 (20 bits)
Octal 0o2550155
Hexadecimal 0xAD06D

Divisor Catalog (8)

1 3 101 303 2,339 7,017 236,239 708,717

Collatz Trajectory (74 steps to reach 1)

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

708,717 2,126,152 1,063,076 531,538 265,769 797,308 398,654 199,327 597,982 298,991 896,974 448,487 1,345,462 672,731 2,018,194 1,009,097 3,027,292 1,513,646 756,823 2,270,470 1,135,235 3,405,706 1,702,853 5,108,560 2,554,280 1,277,140 638,570 319,285 957,856 478,928 239,464 119,732 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22

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