7,793,626

2 × 73 × 53381

Starting at 7,793,626, the Collatz iteration reaches 1 after 217 steps. The first transition is 3896813; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 73 × 53381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,850,804

Proper Divisor Sum 4,057,178

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7793623 ← → #7793647

Radix Representation

Decimal	7793626
Binary	11101101110101111011010 (23 bits)
Octal	0o35565732
Hexadecimal	0x76EBDA

Divisor Catalog (8)

1 2 73 146 53,381 106,762 3,896,813 7,793,626

Collatz Trajectory (217 steps to reach 1)

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

7,793,626 3,896,813 11,690,440 5,845,220 2,922,610 1,461,305 4,383,916 2,191,958 1,095,979 3,287,938 1,643,969 4,931,908 2,465,954 1,232,977 3,698,932 1,849,466 924,733 2,774,200 1,387,100 693,550 346,775 1,040,326 520,163 1,560,490 780,245 2,340,736 1,170,368 585,184 292,592 146,296 73,148 36,574 18,287 54,862 27,431 82,294 41,147 123,442 61,721 185,164 92,582 46,291 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059 117,178 58,589 175,768 87,884 43,942 21,971 65,914 32,957 98,872 49,436

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