λ
Math Directory

9,499,609

7 × 31 × 43777
Deficient Odd Composite

9,499,609 factors as 7 × 31 × 43777. Its 8 positive divisors give a proper-divisor sum of 1,707,559, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 7 × 31 × 43777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,207,168
Proper Divisor Sum 1,707,559
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9499579 ← → #9499613

Radix Representation

Decimal 9499609
Binary 100100001111001111011001 (24 bits)
Octal 0o44171731
Hexadecimal 0x90F3D9

Divisor Catalog (8)

1 7 31 217 43,777 306,439 1,357,087 9,499,609

Collatz Trajectory (124 steps to reach 1)

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

9,499,609 28,498,828 14,249,414 7,124,707 21,374,122 10,687,061 32,061,184 16,030,592 8,015,296 4,007,648 2,003,824 1,001,912 500,956 250,478 125,239 375,718 187,859 563,578 281,789 845,368 422,684 211,342 105,671 317,014 158,507 475,522 237,761 713,284 356,642 178,321 534,964 267,482 133,741 401,224 200,612 100,306 50,153 150,460 75,230 37,615 112,846 56,423 169,270 84,635 253,906 126,953 380,860 190,430 95,215 285,646 142,823 428,470 214,235 642,706 321,353 964,060 482,030 241,015 723,046 361,523

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