789,195

3 × 5 × 11 × 4783

Starting at 789,195, the Collatz iteration reaches 1 after 123 steps. The first transition is 2367586; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 4783

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,377,792

Proper Divisor Sum 588,597

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #789181 ← → #789221

Radix Representation

Decimal	789195
Binary	11000000101011001011 (20 bits)
Octal	0o3005313
Hexadecimal	0xC0ACB

Divisor Catalog (16)

1 3 5 11 15 33 55 165 4,783 14,349 23,915 52,613 71,745 157,839 263,065 789,195

Collatz Trajectory (123 steps to reach 1)

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

789,195 2,367,586 1,183,793 3,551,380 1,775,690 887,845 2,663,536 1,331,768 665,884 332,942 166,471 499,414 249,707 749,122 374,561 1,123,684 561,842 280,921 842,764 421,382 210,691 632,074 316,037 948,112 474,056 237,028 118,514 59,257 177,772 88,886 44,443 133,330 66,665 199,996 99,998 49,999 149,998 74,999 224,998 112,499 337,498 168,749 506,248 253,124 126,562 63,281 189,844 94,922 47,461 142,384 71,192 35,596 17,798 8,899 26,698 13,349 40,048 20,024 10,012 5,006

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