λ
Sequence Observatory

708,132

22 × 3 × 59011
Abundant Even Composite

Starting at 708,132, the Collatz iteration reaches 1 after 123 steps. The first transition is 354066; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 59011
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,652,336
Proper Divisor Sum 944,204
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #708131 ← → #708137

Radix Representation

Decimal 708132
Binary 10101100111000100100 (20 bits)
Octal 0o2547044
Hexadecimal 0xACE24

Divisor Catalog (12)

1 2 3 4 6 12 59,011 118,022 177,033 236,044 354,066 708,132

Collatz Trajectory (123 steps to reach 1)

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

708,132 354,066 177,033 531,100 265,550 132,775 398,326 199,163 597,490 298,745 896,236 448,118 224,059 672,178 336,089 1,008,268 504,134 252,067 756,202 378,101 1,134,304 567,152 283,576 141,788 70,894 35,447 106,342 53,171 159,514 79,757 239,272 119,636 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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