865,774

2 × 7 × 13 × 67 × 71

Starting at 865,774, the Collatz iteration reaches 1 after 95 steps. The first transition is 432887; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 67 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,645,056

Proper Divisor Sum 779,282

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #865771 ← → #865783

Radix Representation

Decimal	865774
Binary	11010011010111101110 (20 bits)
Octal	0o3232756
Hexadecimal	0xD35EE

Divisor Catalog (32)

1 2 7 13 14 26 67 71 91 134 142 182 469 497 871 923 938 994 1,742 1,846 4,757 6,097 6,461 9,514 12,194 12,922 33,299 61,841 66,598 123,682 432,887 865,774

Collatz Trajectory (95 steps to reach 1)

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

865,774 432,887 1,298,662 649,331 1,947,994 973,997 2,921,992 1,460,996 730,498 365,249 1,095,748 547,874 273,937 821,812 410,906 205,453 616,360 308,180 154,090 77,045 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917

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