λ
Sequence Observatory

3,987,317

3987317
Deficient Odd Prime

Starting at 3,987,317, the Collatz iteration reaches 1 after 229 steps. The first transition is 11961952; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3987317
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,987,318
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3987311 ← → #3987323

Radix Representation

Decimal 3987317
Binary 1111001101011101110101 (22 bits)
Octal 0o17153565
Hexadecimal 0x3CD775

Divisor Catalog (2)

Collatz Trajectory (229 steps to reach 1)

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

3,987,317 11,961,952 5,980,976 2,990,488 1,495,244 747,622 373,811 1,121,434 560,717 1,682,152 841,076 420,538 210,269 630,808 315,404 157,702 78,851 236,554 118,277 354,832 177,416 88,708 44,354 22,177 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703

More profiles

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