7,878,641

7878641

Starting at 7,878,641, the Collatz iteration reaches 1 after 173 steps. The first transition is 23635924; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7878641

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 7,878,642

Proper Divisor Sum 1

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7878613 ← → #7878643

Radix Representation

Decimal	7878641
Binary	11110000011011111110001 (23 bits)
Octal	0o36033761
Hexadecimal	0x7837F1

Divisor Catalog (2)

1 7,878,641

Collatz Trajectory (173 steps to reach 1)

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

7,878,641 23,635,924 11,817,962 5,908,981 17,726,944 8,863,472 4,431,736 2,215,868 1,107,934 553,967 1,661,902 830,951 2,492,854 1,246,427 3,739,282 1,869,641 5,608,924 2,804,462 1,402,231 4,206,694 2,103,347 6,310,042 3,155,021 9,465,064 4,732,532 2,366,266 1,183,133 3,549,400 1,774,700 887,350 443,675 1,331,026 665,513 1,996,540 998,270 499,135 1,497,406 748,703 2,246,110 1,123,055 3,369,166 1,684,583 5,053,750 2,526,875 7,580,626 3,790,313 11,370,940 5,685,470 2,842,735 8,528,206 4,264,103 12,792,310 6,396,155 19,188,466 9,594,233 28,782,700 14,391,350 7,195,675 21,587,026 10,793,513

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