7,677,301

71 × 108131

Starting at 7,677,301, the Collatz iteration reaches 1 after 111 steps. The first transition is 23031904; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 71 × 108131

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,785,504

Proper Divisor Sum 108,203

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7677283 ← → #7677323

Radix Representation

Decimal	7677301
Binary	11101010010010101110101 (23 bits)
Octal	0o35222565
Hexadecimal	0x752575

Divisor Catalog (4)

1 71 108,131 7,677,301

Collatz Trajectory (111 steps to reach 1)

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

7,677,301 23,031,904 11,515,952 5,757,976 2,878,988 1,439,494 719,747 2,159,242 1,079,621 3,238,864 1,619,432 809,716 404,858 202,429 607,288 303,644 151,822 75,911 227,734 113,867 341,602 170,801 512,404 256,202 128,101 384,304 192,152 96,076 48,038 24,019 72,058 36,029 108,088 54,044 27,022 13,511 40,534 20,267 60,802 30,401 91,204 45,602 22,801 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620 4,810 2,405 7,216 3,608 1,804 902 451 1,354

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