λ
Sequence Observatory

7,478,111

7478111
Deficient Odd Prime

Starting at 7,478,111, the Collatz iteration reaches 1 after 235 steps. The first transition is 22434334; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7478111
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,478,112
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7478089 ← → #7478117

Radix Representation

Decimal 7478111
Binary 11100100001101101011111 (23 bits)
Octal 0o34415537
Hexadecimal 0x721B5F

Divisor Catalog (2)

Collatz Trajectory (235 steps to reach 1)

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

7,478,111 22,434,334 11,217,167 33,651,502 16,825,751 50,477,254 25,238,627 75,715,882 37,857,941 113,573,824 56,786,912 28,393,456 14,196,728 7,098,364 3,549,182 1,774,591 5,323,774 2,661,887 7,985,662 3,992,831 11,978,494 5,989,247 17,967,742 8,983,871 26,951,614 13,475,807 40,427,422 20,213,711 60,641,134 30,320,567 90,961,702 45,480,851 136,442,554 68,221,277 204,663,832 102,331,916 51,165,958 25,582,979 76,748,938 38,374,469 115,123,408 57,561,704 28,780,852 14,390,426 7,195,213 21,585,640 10,792,820 5,396,410 2,698,205 8,094,616 4,047,308 2,023,654 1,011,827 3,035,482 1,517,741 4,553,224 2,276,612 1,138,306 569,153 1,707,460

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