99,207

3² × 73 × 151

99,207 factors as 3^2 × 73 × 151. Its 12 positive divisors give a proper-divisor sum of 47,017, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3^2 × 73 × 151

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 146,224

Proper Divisor Sum 47,017

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #99191 ← → #99223

Radix Representation

Decimal	99207
Binary	11000001110000111 (17 bits)
Octal	0o301607
Hexadecimal	0x18387

Divisor Catalog (12)

1 3 9 73 151 219 453 657 1,359 11,023 33,069 99,207

Collatz Trajectory (141 steps to reach 1)

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

99,207 297,622 148,811 446,434 223,217 669,652 334,826 167,413 502,240 251,120 125,560 62,780 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779

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