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Atlas › Integer Profiles › Node 9,504,290

9,504,290

2 × 5 × 23 × 312 × 43
Deficient Even Composite

9,504,290 factors as 2 × 5 × 23 × 31^2 × 43. Its 48 positive divisors give a proper-divisor sum of 9,370,654, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 31^2 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,874,944
Proper Divisor Sum 9,370,654
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9504289 ← → #9504307

Radix Representation

Decimal 9504290
Binary 100100010000011000100010 (24 bits)
Octal 0o44203042
Hexadecimal 0x910622

Divisor Catalog (48)

1 2 5 10 23 31 43 46 62 86 115 155 215 230 310 430 713 961 989 1,333 1,426 1,922 1,978 2,666 3,565 4,805 4,945 6,665 7,130 9,610 9,890 13,330 22,103 30,659 41,323 44,206 61,318 82,646 110,515 153,295 206,615 221,030 306,590 413,230 950,429 1,900,858 4,752,145 9,504,290

Collatz Trajectory (101 steps to reach 1)

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

9,504,290 4,752,145 14,256,436 7,128,218 3,564,109 10,692,328 5,346,164 2,673,082 1,336,541 4,009,624 2,004,812 1,002,406 501,203 1,503,610 751,805 2,255,416 1,127,708 563,854 281,927 845,782 422,891 1,268,674 634,337 1,903,012 951,506 475,753 1,427,260 713,630 356,815 1,070,446 535,223 1,605,670 802,835 2,408,506 1,204,253 3,612,760 1,806,380 903,190 451,595 1,354,786 677,393 2,032,180 1,016,090 508,045 1,524,136 762,068 381,034 190,517 571,552 285,776 142,888 71,444 35,722 17,861 53,584 26,792 13,396 6,698 3,349 10,048

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