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Atlas › Integer Profiles › Node 9,731,997

9,731,997

32 × 11 × 197 × 499
Deficient Odd Composite

9,731,997 factors as 3^2 × 11 × 197 × 499. Its 24 positive divisors give a proper-divisor sum of 5,712,003, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 197 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,444,000
Proper Divisor Sum 5,712,003
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9731989 ← → #9732011

Radix Representation

Decimal 9731997
Binary 100101000111111110011101 (24 bits)
Octal 0o45077635
Hexadecimal 0x947F9D

Divisor Catalog (24)

1 3 9 11 33 99 197 499 591 1,497 1,773 2,167 4,491 5,489 6,501 16,467 19,503 49,401 98,303 294,909 884,727 1,081,333 3,243,999 9,731,997

Collatz Trajectory (88 steps to reach 1)

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

9,731,997 29,195,992 14,597,996 7,298,998 3,649,499 10,948,498 5,474,249 16,422,748 8,211,374 4,105,687 12,317,062 6,158,531 18,475,594 9,237,797 27,713,392 13,856,696 6,928,348 3,464,174 1,732,087 5,196,262 2,598,131 7,794,394 3,897,197 11,691,592 5,845,796 2,922,898 1,461,449 4,384,348 2,192,174 1,096,087 3,288,262 1,644,131 4,932,394 2,466,197 7,398,592 3,699,296 1,849,648 924,824 462,412 231,206 115,603 346,810 173,405 520,216 260,108 130,054 65,027 195,082 97,541 292,624 146,312 73,156 36,578 18,289 54,868 27,434 13,717 41,152 20,576 10,288

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