λ
Sequence Observatory

7,797,313

7797313
Deficient Odd Prime

Starting at 7,797,313, the Collatz iteration reaches 1 after 155 steps. The first transition is 23391940; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7797313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,797,314
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7797311 ← → #7797323

Radix Representation

Decimal 7797313
Binary 11101101111101001000001 (23 bits)
Octal 0o35575101
Hexadecimal 0x76FA41

Divisor Catalog (2)

1 7,797,313

Collatz Trajectory (155 steps to reach 1)

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

7,797,313 23,391,940 11,695,970 5,847,985 17,543,956 8,771,978 4,385,989 13,157,968 6,578,984 3,289,492 1,644,746 822,373 2,467,120 1,233,560 616,780 308,390 154,195 462,586 231,293 693,880 346,940 173,470 86,735 260,206 130,103 390,310 195,155 585,466 292,733 878,200 439,100 219,550 109,775 329,326 164,663 493,990 246,995 740,986 370,493 1,111,480 555,740 277,870 138,935 416,806 208,403 625,210 312,605 937,816 468,908 234,454 117,227 351,682 175,841 527,524 263,762 131,881 395,644 197,822 98,911 296,734

More profiles

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