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Atlas › Integer Profiles › Node 9,523,965

9,523,965

3 × 5 × 11 × 197 × 293
Deficient Odd Composite

9,523,965 factors as 3 × 5 × 11 × 197 × 293. Its 32 positive divisors give a proper-divisor sum of 7,241,091, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 197 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,765,056
Proper Divisor Sum 7,241,091
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9523949 ← → #9523967

Radix Representation

Decimal 9523965
Binary 100100010101001011111101 (24 bits)
Octal 0o44251375
Hexadecimal 0x9152FD

Divisor Catalog (32)

1 3 5 11 15 33 55 165 197 293 591 879 985 1,465 2,167 2,955 3,223 4,395 6,501 9,669 10,835 16,115 32,505 48,345 57,721 173,163 288,605 634,931 865,815 1,904,793 3,174,655 9,523,965

Collatz Trajectory (269 steps to reach 1)

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

9,523,965 28,571,896 14,285,948 7,142,974 3,571,487 10,714,462 5,357,231 16,071,694 8,035,847 24,107,542 12,053,771 36,161,314 18,080,657 54,241,972 27,120,986 13,560,493 40,681,480 20,340,740 10,170,370 5,085,185 15,255,556 7,627,778 3,813,889 11,441,668 5,720,834 2,860,417 8,581,252 4,290,626 2,145,313 6,435,940 3,217,970 1,608,985 4,826,956 2,413,478 1,206,739 3,620,218 1,810,109 5,430,328 2,715,164 1,357,582 678,791 2,036,374 1,018,187 3,054,562 1,527,281 4,581,844 2,290,922 1,145,461 3,436,384 1,718,192 859,096 429,548 214,774 107,387 322,162 161,081 483,244 241,622 120,811 362,434

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