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Atlas › Integer Profiles › Node 9,709,924

9,709,924

22 × 7 × 17 × 20399
Abundant Even Composite

9,709,924 factors as 2^2 × 7 × 17 × 20399. Its 24 positive divisors give a proper-divisor sum of 10,853,276, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 20399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,563,200
Proper Divisor Sum 10,853,276
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9709901 ← → #9709927

Radix Representation

Decimal 9709924
Binary 100101000010100101100100 (24 bits)
Octal 0o45024544
Hexadecimal 0x942964

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 119 238 476 20,399 40,798 81,596 142,793 285,586 346,783 571,172 693,566 1,387,132 2,427,481 4,854,962 9,709,924

Collatz Trajectory (238 steps to reach 1)

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

9,709,924 4,854,962 2,427,481 7,282,444 3,641,222 1,820,611 5,461,834 2,730,917 8,192,752 4,096,376 2,048,188 1,024,094 512,047 1,536,142 768,071 2,304,214 1,152,107 3,456,322 1,728,161 5,184,484 2,592,242 1,296,121 3,888,364 1,944,182 972,091 2,916,274 1,458,137 4,374,412 2,187,206 1,093,603 3,280,810 1,640,405 4,921,216 2,460,608 1,230,304 615,152 307,576 153,788 76,894 38,447 115,342 57,671 173,014 86,507 259,522 129,761 389,284 194,642 97,321 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521

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