λ
Sequence Observatory

8,117,173

8117173
Deficient Odd Prime

Starting at 8,117,173, the Collatz iteration reaches 1 after 111 steps. The first transition is 24351520; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8117173
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,117,174
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8117167 ← → #8117189

Radix Representation

Decimal 8117173
Binary 11110111101101110110101 (23 bits)
Octal 0o36755665
Hexadecimal 0x7BDBB5

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

8,117,173 24,351,520 12,175,760 6,087,880 3,043,940 1,521,970 760,985 2,282,956 1,141,478 570,739 1,712,218 856,109 2,568,328 1,284,164 642,082 321,041 963,124 481,562 240,781 722,344 361,172 180,586 90,293 270,880 135,440 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438

More profiles

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