λ
Sequence Observatory

8,378,011

8378011
Deficient Odd Prime

Starting at 8,378,011, the Collatz iteration reaches 1 after 137 steps. The first transition is 25134034; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8378011
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,378,012
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8377997 ← → #8378039

Radix Representation

Decimal 8378011
Binary 11111111101011010011011 (23 bits)
Octal 0o37753233
Hexadecimal 0x7FD69B

Divisor Catalog (2)

Collatz Trajectory (137 steps to reach 1)

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

8,378,011 25,134,034 12,567,017 37,701,052 18,850,526 9,425,263 28,275,790 14,137,895 42,413,686 21,206,843 63,620,530 31,810,265 95,430,796 47,715,398 23,857,699 71,573,098 35,786,549 107,359,648 53,679,824 26,839,912 13,419,956 6,709,978 3,354,989 10,064,968 5,032,484 2,516,242 1,258,121 3,774,364 1,887,182 943,591 2,830,774 1,415,387 4,246,162 2,123,081 6,369,244 3,184,622 1,592,311 4,776,934 2,388,467 7,165,402 3,582,701 10,748,104 5,374,052 2,687,026 1,343,513 4,030,540 2,015,270 1,007,635 3,022,906 1,511,453 4,534,360 2,267,180 1,133,590 566,795 1,700,386 850,193 2,550,580 1,275,290 637,645 1,912,936

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