λ
Sequence Observatory

7,351,313

7351313
Deficient Odd Prime

Starting at 7,351,313, the Collatz iteration reaches 1 after 173 steps. The first transition is 22053940; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7351313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,351,314
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7351277 ← → #7351343

Radix Representation

Decimal 7351313
Binary 11100000010110000010001 (23 bits)
Octal 0o34026021
Hexadecimal 0x702C11

Divisor Catalog (2)

Collatz Trajectory (173 steps to reach 1)

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

7,351,313 22,053,940 11,026,970 5,513,485 16,540,456 8,270,228 4,135,114 2,067,557 6,202,672 3,101,336 1,550,668 775,334 387,667 1,163,002 581,501 1,744,504 872,252 436,126 218,063 654,190 327,095 981,286 490,643 1,471,930 735,965 2,207,896 1,103,948 551,974 275,987 827,962 413,981 1,241,944 620,972 310,486 155,243 465,730 232,865 698,596 349,298 174,649 523,948 261,974 130,987 392,962 196,481 589,444 294,722 147,361 442,084 221,042 110,521 331,564 165,782 82,891 248,674 124,337 373,012 186,506 93,253 279,760

More profiles

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