λ
Sequence Observatory

8,465,791

8465791
Deficient Odd Prime

Starting at 8,465,791, the Collatz iteration reaches 1 after 274 steps. The first transition is 25397374; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8465791
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,465,792
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8465789 ← → #8465819

Radix Representation

Decimal 8465791
Binary 100000010010110101111111 (24 bits)
Octal 0o40226577
Hexadecimal 0x812D7F

Divisor Catalog (2)

Collatz Trajectory (274 steps to reach 1)

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

8,465,791 25,397,374 12,698,687 38,096,062 19,048,031 57,144,094 28,572,047 85,716,142 42,858,071 128,574,214 64,287,107 192,861,322 96,430,661 289,291,984 144,645,992 72,322,996 36,161,498 18,080,749 54,242,248 27,121,124 13,560,562 6,780,281 20,340,844 10,170,422 5,085,211 15,255,634 7,627,817 22,883,452 11,441,726 5,720,863 17,162,590 8,581,295 25,743,886 12,871,943 38,615,830 19,307,915 57,923,746 28,961,873 86,885,620 43,442,810 21,721,405 65,164,216 32,582,108 16,291,054 8,145,527 24,436,582 12,218,291 36,654,874 18,327,437 54,982,312 27,491,156 13,745,578 6,872,789 20,618,368 10,309,184 5,154,592 2,577,296 1,288,648 644,324 322,162

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