λ
Sequence Observatory

7,493,329

7493329
Deficient Odd Prime

Starting at 7,493,329, the Collatz iteration reaches 1 after 160 steps. The first transition is 22479988; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7493329
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,493,330
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7493303 ← → #7493333

Radix Representation

Decimal 7493329
Binary 11100100101011011010001 (23 bits)
Octal 0o34453321
Hexadecimal 0x7256D1

Divisor Catalog (2)

Collatz Trajectory (160 steps to reach 1)

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

7,493,329 22,479,988 11,239,994 5,619,997 16,859,992 8,429,996 4,214,998 2,107,499 6,322,498 3,161,249 9,483,748 4,741,874 2,370,937 7,112,812 3,556,406 1,778,203 5,334,610 2,667,305 8,001,916 4,000,958 2,000,479 6,001,438 3,000,719 9,002,158 4,501,079 13,503,238 6,751,619 20,254,858 10,127,429 30,382,288 15,191,144 7,595,572 3,797,786 1,898,893 5,696,680 2,848,340 1,424,170 712,085 2,136,256 1,068,128 534,064 267,032 133,516 66,758 33,379 100,138 50,069 150,208 75,104 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924

More profiles

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