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Atlas › Integer Profiles › Node 9,503,264

9,503,264

25 × 131 × 2267
Deficient Even Composite

9,503,264 factors as 2^5 × 131 × 2267. Its 24 positive divisors give a proper-divisor sum of 9,357,424, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^5 × 131 × 2267
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,860,688
Proper Divisor Sum 9,357,424
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9503261 ← → #9503269

Radix Representation

Decimal 9503264
Binary 100100010000001000100000 (24 bits)
Octal 0o44201040
Hexadecimal 0x910220

Divisor Catalog (24)

1 2 4 8 16 32 131 262 524 1,048 2,096 2,267 4,192 4,534 9,068 18,136 36,272 72,544 296,977 593,954 1,187,908 2,375,816 4,751,632 9,503,264

Collatz Trajectory (119 steps to reach 1)

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

9,503,264 4,751,632 2,375,816 1,187,908 593,954 296,977 890,932 445,466 222,733 668,200 334,100 167,050 83,525 250,576 125,288 62,644 31,322 15,661 46,984 23,492 11,746 5,873 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

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