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Atlas › Integer Profiles › Node 9,688,336

9,688,336

24 × 7 × 23 × 3761
Abundant Even Composite

9,688,336 factors as 2^4 × 7 × 23 × 3761. Its 40 positive divisors give a proper-divisor sum of 12,703,088, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 23 × 3761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,391,424
Proper Divisor Sum 12,703,088
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9688319 ← → #9688361

Radix Representation

Decimal 9688336
Binary 100100111101010100010000 (24 bits)
Octal 0o44752420
Hexadecimal 0x93D510

Divisor Catalog (40)

1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1,288 2,576 3,761 7,522 15,044 26,327 30,088 52,654 60,176 86,503 105,308 173,006 210,616 346,012 421,232 605,521 692,024 1,211,042 1,384,048 2,422,084 4,844,168 9,688,336

Collatz Trajectory (119 steps to reach 1)

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

9,688,336 4,844,168 2,422,084 1,211,042 605,521 1,816,564 908,282 454,141 1,362,424 681,212 340,606 170,303 510,910 255,455 766,366 383,183 1,149,550 574,775 1,724,326 862,163 2,586,490 1,293,245 3,879,736 1,939,868 969,934 484,967 1,454,902 727,451 2,182,354 1,091,177 3,273,532 1,636,766 818,383 2,455,150 1,227,575 3,682,726 1,841,363 5,524,090 2,762,045 8,286,136 4,143,068 2,071,534 1,035,767 3,107,302 1,553,651 4,660,954 2,330,477 6,991,432 3,495,716 1,747,858 873,929 2,621,788 1,310,894 655,447 1,966,342 983,171 2,949,514 1,474,757 4,424,272 2,212,136

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