λ
Sigma Notebook

415,391

415391
Deficient Odd Prime

415,391 is odd and not a perfect square. Its factorization is 415391 and its 2 divisors sum to 415,392.

Prime Factor Structure

Factorization String 415391
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 415,392
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #415381 ← → #415409

Radix Representation

Decimal 415391
Binary 1100101011010011111 (19 bits)
Octal 0o1453237
Hexadecimal 0x6569F

Divisor Catalog (2)

Collatz Trajectory (112 steps to reach 1)

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

415,391 1,246,174 623,087 1,869,262 934,631 2,803,894 1,401,947 4,205,842 2,102,921 6,308,764 3,154,382 1,577,191 4,731,574 2,365,787 7,097,362 3,548,681 10,646,044 5,323,022 2,661,511 7,984,534 3,992,267 11,976,802 5,988,401 17,965,204 8,982,602 4,491,301 13,473,904 6,736,952 3,368,476 1,684,238 842,119 2,526,358 1,263,179 3,789,538 1,894,769 5,684,308 2,842,154 1,421,077 4,263,232 2,131,616 1,065,808 532,904 266,452 133,226 66,613 199,840 99,920 49,960 24,980 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636

More profiles

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