7,846,054

2 × 659 × 5953

Starting at 7,846,054, the Collatz iteration reaches 1 after 186 steps. The first transition is 3923027; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 659 × 5953

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,788,920

Proper Divisor Sum 3,942,866

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7846001 ← → #7846063

Radix Representation

Decimal	7846054
Binary	11101111011100010100110 (23 bits)
Octal	0o35734246
Hexadecimal	0x77B8A6

Divisor Catalog (8)

1 2 659 1,318 5,953 11,906 3,923,027 7,846,054

Collatz Trajectory (186 steps to reach 1)

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

7,846,054 3,923,027 11,769,082 5,884,541 17,653,624 8,826,812 4,413,406 2,206,703 6,620,110 3,310,055 9,930,166 4,965,083 14,895,250 7,447,625 22,342,876 11,171,438 5,585,719 16,757,158 8,378,579 25,135,738 12,567,869 37,703,608 18,851,804 9,425,902 4,712,951 14,138,854 7,069,427 21,208,282 10,604,141 31,812,424 15,906,212 7,953,106 3,976,553 11,929,660 5,964,830 2,982,415 8,947,246 4,473,623 13,420,870 6,710,435 20,131,306 10,065,653 30,196,960 15,098,480 7,549,240 3,774,620 1,887,310 943,655 2,830,966 1,415,483 4,246,450 2,123,225 6,369,676 3,184,838 1,592,419 4,777,258 2,388,629 7,165,888 3,582,944 1,791,472

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