λ
Prime Ledger

7,610,289

3 × 2536763
Deficient Odd Composite

7,610,289 has the prime decomposition 3 × 2536763. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2536763
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,147,056
Proper Divisor Sum 2,536,767
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7610257 ← → #7610293

Radix Representation

Decimal 7610289
Binary 11101000001111110110001 (23 bits)
Octal 0o35017661
Hexadecimal 0x741FB1

Divisor Catalog (4)

1 3 2,536,763 7,610,289

Collatz Trajectory (155 steps to reach 1)

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

7,610,289 22,830,868 11,415,434 5,707,717 17,123,152 8,561,576 4,280,788 2,140,394 1,070,197 3,210,592 1,605,296 802,648 401,324 200,662 100,331 300,994 150,497 451,492 225,746 112,873 338,620 169,310 84,655 253,966 126,983 380,950 190,475 571,426 285,713 857,140 428,570 214,285 642,856 321,428 160,714 80,357 241,072 120,536 60,268 30,134 15,067 45,202 22,601 67,804 33,902 16,951 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275

More profiles

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