λ
Sequence Observatory

708,243

3 × 47 × 5023
Deficient Odd Composite

Starting at 708,243, the Collatz iteration reaches 1 after 105 steps. The first transition is 2124730; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 5023
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 964,608
Proper Divisor Sum 256,365
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #708229 ← → #708251

Radix Representation

Decimal 708243
Binary 10101100111010010011 (20 bits)
Octal 0o2547223
Hexadecimal 0xACE93

Divisor Catalog (8)

1 3 47 141 5,023 15,069 236,081 708,243

Collatz Trajectory (105 steps to reach 1)

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

708,243 2,124,730 1,062,365 3,187,096 1,593,548 796,774 398,387 1,195,162 597,581 1,792,744 896,372 448,186 224,093 672,280 336,140 168,070 84,035 252,106 126,053 378,160 189,080 94,540 47,270 23,635 70,906 35,453 106,360 53,180 26,590 13,295 39,886 19,943 59,830 29,915 89,746 44,873 134,620 67,310 33,655 100,966 50,483 151,450 75,725 227,176 113,588 56,794 28,397 85,192 42,596 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493

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