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Atlas › Integer Profiles › Node 9,869,688

9,869,688

23 × 35 × 5077
Abundant Even Composite

9,869,688 factors as 2^3 × 3^5 × 5077. Its 48 positive divisors give a proper-divisor sum of 17,856,192, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 5077
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,725,880
Proper Divisor Sum 17,856,192
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #9869681 ← → #9869693

Radix Representation

Decimal 9869688
Binary 100101101001100101111000 (24 bits)
Octal 0o45514570
Hexadecimal 0x969978

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1,944 5,077 10,154 15,231 20,308 30,462 40,616 45,693 60,924 91,386 121,848 137,079 182,772 274,158 365,544 411,237 548,316 822,474 1,096,632 1,233,711 1,644,948 2,467,422 3,289,896 4,934,844 9,869,688

Collatz Trajectory (83 steps to reach 1)

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

9,869,688 4,934,844 2,467,422 1,233,711 3,701,134 1,850,567 5,551,702 2,775,851 8,327,554 4,163,777 12,491,332 6,245,666 3,122,833 9,368,500 4,684,250 2,342,125 7,026,376 3,513,188 1,756,594 878,297 2,634,892 1,317,446 658,723 1,976,170 988,085 2,964,256 1,482,128 741,064 370,532 185,266 92,633 277,900 138,950 69,475 208,426 104,213 312,640 156,320 78,160 39,080 19,540 9,770 4,885 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49

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