λ
Sequence Observatory

997,207

997207
Deficient Odd Prime

Starting at 997,207, the Collatz iteration reaches 1 after 113 steps. The first transition is 2991622; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 997207
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 997,208
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #997201 ← → #997219

Radix Representation

Decimal 997207
Binary 11110011011101010111 (20 bits)
Octal 0o3633527
Hexadecimal 0xF3757

Divisor Catalog (2)

1 997,207

Collatz Trajectory (113 steps to reach 1)

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

997,207 2,991,622 1,495,811 4,487,434 2,243,717 6,731,152 3,365,576 1,682,788 841,394 420,697 1,262,092 631,046 315,523 946,570 473,285 1,419,856 709,928 354,964 177,482 88,741 266,224 133,112 66,556 33,278 16,639 49,918 24,959 74,878 37,439 112,318 56,159 168,478 84,239 252,718 126,359 379,078 189,539 568,618 284,309 852,928 426,464 213,232 106,616 53,308 26,654 13,327 39,982 19,991 59,974 29,987 89,962 44,981 134,944 67,472 33,736 16,868 8,434 4,217 12,652 6,326

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