7,778,017

13 × 223 × 2683

Starting at 7,778,017, the Collatz iteration reaches 1 after 367 steps. The first transition is 23334052; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 223 × 2683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,417,024

Proper Divisor Sum 639,007

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7777997 ← → #7778033

Radix Representation

Decimal	7778017
Binary	11101101010111011100001 (23 bits)
Octal	0o35527341
Hexadecimal	0x76AEE1

Divisor Catalog (8)

1 13 223 2,683 2,899 34,879 598,309 7,778,017

Collatz Trajectory (367 steps to reach 1)

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

7,778,017 23,334,052 11,667,026 5,833,513 17,500,540 8,750,270 4,375,135 13,125,406 6,562,703 19,688,110 9,844,055 29,532,166 14,766,083 44,298,250 22,149,125 66,447,376 33,223,688 16,611,844 8,305,922 4,152,961 12,458,884 6,229,442 3,114,721 9,344,164 4,672,082 2,336,041 7,008,124 3,504,062 1,752,031 5,256,094 2,628,047 7,884,142 3,942,071 11,826,214 5,913,107 17,739,322 8,869,661 26,608,984 13,304,492 6,652,246 3,326,123 9,978,370 4,989,185 14,967,556 7,483,778 3,741,889 11,225,668 5,612,834 2,806,417 8,419,252 4,209,626 2,104,813 6,314,440 3,157,220 1,578,610 789,305 2,367,916 1,183,958 591,979 1,775,938

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