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9,628,808

23 × 7 × 139 × 1237
Abundant Even Composite

9,628,808 factors as 2^3 × 7 × 139 × 1237. Its 32 positive divisors give a proper-divisor sum of 11,169,592, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 139 × 1237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,798,400
Proper Divisor Sum 11,169,592
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9628793 ← → #9628811

Radix Representation

Decimal 9628808
Binary 100100101110110010001000 (24 bits)
Octal 0o44566210
Hexadecimal 0x92EC88

Divisor Catalog (32)

1 2 4 7 8 14 28 56 139 278 556 973 1,112 1,237 1,946 2,474 3,892 4,948 7,784 8,659 9,896 17,318 34,636 69,272 171,943 343,886 687,772 1,203,601 1,375,544 2,407,202 4,814,404 9,628,808

Collatz Trajectory (93 steps to reach 1)

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

9,628,808 4,814,404 2,407,202 1,203,601 3,610,804 1,805,402 902,701 2,708,104 1,354,052 677,026 338,513 1,015,540 507,770 253,885 761,656 380,828 190,414 95,207 285,622 142,811 428,434 214,217 642,652 321,326 160,663 481,990 240,995 722,986 361,493 1,084,480 542,240 271,120 135,560 67,780 33,890 16,945 50,836 25,418 12,709 38,128 19,064 9,532 4,766 2,383 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186

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