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Atlas › Integer Profiles › Node 9,482,102

9,482,102

2 × 7 × 19 × 43 × 829
Deficient Even Composite

9,482,102 factors as 2 × 7 × 19 × 43 × 829. Its 32 positive divisors give a proper-divisor sum of 8,047,498, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 43 × 829
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,529,600
Proper Divisor Sum 8,047,498
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9482069 ← → #9482113

Radix Representation

Decimal 9482102
Binary 100100001010111101110110 (24 bits)
Octal 0o44127566
Hexadecimal 0x90AF76

Divisor Catalog (32)

1 2 7 14 19 38 43 86 133 266 301 602 817 829 1,634 1,658 5,719 5,803 11,438 11,606 15,751 31,502 35,647 71,294 110,257 220,514 249,529 499,058 677,293 1,354,586 4,741,051 9,482,102

Collatz Trajectory (163 steps to reach 1)

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

9,482,102 4,741,051 14,223,154 7,111,577 21,334,732 10,667,366 5,333,683 16,001,050 8,000,525 24,001,576 12,000,788 6,000,394 3,000,197 9,000,592 4,500,296 2,250,148 1,125,074 562,537 1,687,612 843,806 421,903 1,265,710 632,855 1,898,566 949,283 2,847,850 1,423,925 4,271,776 2,135,888 1,067,944 533,972 266,986 133,493 400,480 200,240 100,120 50,060 25,030 12,515 37,546 18,773 56,320 28,160 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47

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