λ
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Atlas › Integer Profiles › Node 9,305,344

9,305,344

28 × 163 × 223
Abundant Even Composite

9,305,344 factors as 2^8 × 163 × 223. Its 36 positive divisors give a proper-divisor sum of 9,466,752, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^8 × 163 × 223
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,772,096
Proper Divisor Sum 9,466,752
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9305339 ← → #9305353

Radix Representation

Decimal 9305344
Binary 100011011111110100000000 (24 bits)
Octal 0o43376400
Hexadecimal 0x8DFD00

Divisor Catalog (36)

1 2 4 8 16 32 64 128 163 223 256 326 446 652 892 1,304 1,784 2,608 3,568 5,216 7,136 10,432 14,272 20,864 28,544 36,349 41,728 57,088 72,698 145,396 290,792 581,584 1,163,168 2,326,336 4,652,672 9,305,344

Collatz Trajectory (194 steps to reach 1)

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

9,305,344 4,652,672 2,326,336 1,163,168 581,584 290,792 145,396 72,698 36,349 109,048 54,524 27,262 13,631 40,894 20,447 61,342 30,671 92,014 46,007 138,022 69,011 207,034 103,517 310,552 155,276 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292

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