λ
Sequence Observatory

7,077,313

7077313
Deficient Odd Prime

Starting at 7,077,313, the Collatz iteration reaches 1 after 129 steps. The first transition is 21231940; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7077313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,077,314
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7077311 ← → #7077347

Radix Representation

Decimal 7077313
Binary 11010111111110111000001 (23 bits)
Octal 0o32776701
Hexadecimal 0x6BFDC1

Divisor Catalog (2)

1 7,077,313

Collatz Trajectory (129 steps to reach 1)

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

7,077,313 21,231,940 10,615,970 5,307,985 15,923,956 7,961,978 3,980,989 11,942,968 5,971,484 2,985,742 1,492,871 4,478,614 2,239,307 6,717,922 3,358,961 10,076,884 5,038,442 2,519,221 7,557,664 3,778,832 1,889,416 944,708 472,354 236,177 708,532 354,266 177,133 531,400 265,700 132,850 66,425 199,276 99,638 49,819 149,458 74,729 224,188 112,094 56,047 168,142 84,071 252,214 126,107 378,322 189,161 567,484 283,742 141,871 425,614 212,807 638,422 319,211 957,634 478,817 1,436,452 718,226 359,113 1,077,340 538,670 269,335

More profiles

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