799,890

2 × 3 × 5 × 7 × 13 × 293

Starting at 799,890, the Collatz iteration reaches 1 after 131 steps. The first transition is 399945; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 13 × 293

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,370,816

Proper Divisor Sum 1,570,926

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #799873 ← → #799891

Radix Representation

Decimal	799890
Binary	11000011010010010010 (20 bits)
Octal	0o3032222
Hexadecimal	0xC3492

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 293 390 455 546 586 879 910 1,365 1,465 1,758 2,051 2,730 2,930 3,809 4,102 4,395 6,153 7,618 8,790 10,255 11,427 12,306 19,045 20,510 22,854 26,663 30,765 38,090 53,326 57,135 61,530 79,989 114,270 133,315

Collatz Trajectory (131 steps to reach 1)

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

799,890 399,945 1,199,836 599,918 299,959 899,878 449,939 1,349,818 674,909 2,024,728 1,012,364 506,182 253,091 759,274 379,637 1,138,912 569,456 284,728 142,364 71,182 35,591 106,774 53,387 160,162 80,081 240,244 120,122 60,061 180,184 90,092 45,046 22,523 67,570 33,785 101,356 50,678 25,339 76,018 38,009 114,028 57,014 28,507 85,522 42,761 128,284 64,142 32,071 96,214 48,107 144,322 72,161 216,484 108,242 54,121 162,364 81,182 40,591 121,774 60,887 182,662

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