λ
Sequence Observatory

5,078,081

5078081
Deficient Odd Prime

Starting at 5,078,081, the Collatz iteration reaches 1 after 219 steps. The first transition is 15234244; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 5078081
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,078,082
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5078077 ← → #5078083

Radix Representation

Decimal 5078081
Binary 10011010111110001000001 (23 bits)
Octal 0o23276101
Hexadecimal 0x4D7C41

Divisor Catalog (2)

1 5,078,081

Collatz Trajectory (219 steps to reach 1)

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

5,078,081 15,234,244 7,617,122 3,808,561 11,425,684 5,712,842 2,856,421 8,569,264 4,284,632 2,142,316 1,071,158 535,579 1,606,738 803,369 2,410,108 1,205,054 602,527 1,807,582 903,791 2,711,374 1,355,687 4,067,062 2,033,531 6,100,594 3,050,297 9,150,892 4,575,446 2,287,723 6,863,170 3,431,585 10,294,756 5,147,378 2,573,689 7,721,068 3,860,534 1,930,267 5,790,802 2,895,401 8,686,204 4,343,102 2,171,551 6,514,654 3,257,327 9,771,982 4,885,991 14,657,974 7,328,987 21,986,962 10,993,481 32,980,444 16,490,222 8,245,111 24,735,334 12,367,667 37,103,002 18,551,501 55,654,504 27,827,252 13,913,626 6,956,813

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