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Atlas › Integer Profiles › Node 9,501,596

9,501,596

22 × 13 × 19 × 59 × 163
Abundant Even Composite

9,501,596 factors as 2^2 × 13 × 19 × 59 × 163. Its 48 positive divisors give a proper-divisor sum of 9,784,804, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 59 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,286,400
Proper Divisor Sum 9,784,804
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9501587 ← → #9501601

Radix Representation

Decimal 9501596
Binary 100100001111101110011100 (24 bits)
Octal 0o44175634
Hexadecimal 0x90FB9C

Divisor Catalog (48)

1 2 4 13 19 26 38 52 59 76 118 163 236 247 326 494 652 767 988 1,121 1,534 2,119 2,242 3,068 3,097 4,238 4,484 6,194 8,476 9,617 12,388 14,573 19,234 29,146 38,468 40,261 58,292 80,522 125,021 161,044 182,723 250,042 365,446 500,084 730,892 2,375,399 4,750,798 9,501,596

Collatz Trajectory (163 steps to reach 1)

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

9,501,596 4,750,798 2,375,399 7,126,198 3,563,099 10,689,298 5,344,649 16,033,948 8,016,974 4,008,487 12,025,462 6,012,731 18,038,194 9,019,097 27,057,292 13,528,646 6,764,323 20,292,970 10,146,485 30,439,456 15,219,728 7,609,864 3,804,932 1,902,466 951,233 2,853,700 1,426,850 713,425 2,140,276 1,070,138 535,069 1,605,208 802,604 401,302 200,651 601,954 300,977 902,932 451,466 225,733 677,200 338,600 169,300 84,650 42,325 126,976 63,488 31,744 15,872 7,936 3,968 1,984 992 496 248 124 62 31 94 47

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