λ
Sigma Notebook

197,323

72 × 4027
Deficient Odd Composite

197,323 is odd and not a perfect square. Its factorization is 7^2 × 4027 and its 6 divisors sum to 229,596.

Prime Factor Structure

Factorization String 7^2 × 4027
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 229,596
Proper Divisor Sum 32,273
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #197311 ← → #197339

Radix Representation

Decimal 197323
Binary 110000001011001011 (18 bits)
Octal 0o601313
Hexadecimal 0x302CB

Divisor Catalog (6)

1 7 49 4,027 28,189 197,323

Collatz Trajectory (160 steps to reach 1)

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

197,323 591,970 295,985 887,956 443,978 221,989 665,968 332,984 166,492 83,246 41,623 124,870 62,435 187,306 93,653 280,960 140,480 70,240 35,120 17,560 8,780 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214

More profiles

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