λ
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Atlas › Integer Profiles › Node 9,737,481

9,737,481

3 × 13 × 17 × 19 × 773
Deficient Odd Composite

9,737,481 factors as 3 × 13 × 17 × 19 × 773. Its 32 positive divisors give a proper-divisor sum of 5,866,359, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 19 × 773
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,603,840
Proper Divisor Sum 5,866,359
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9737467 ← → #9737501

Radix Representation

Decimal 9737481
Binary 100101001001010100001001 (24 bits)
Octal 0o45112411
Hexadecimal 0x949509

Divisor Catalog (32)

1 3 13 17 19 39 51 57 221 247 323 663 741 773 969 2,319 4,199 10,049 12,597 13,141 14,687 30,147 39,423 44,061 170,833 190,931 249,679 512,499 572,793 749,037 3,245,827 9,737,481

Collatz Trajectory (282 steps to reach 1)

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

9,737,481 29,212,444 14,606,222 7,303,111 21,909,334 10,954,667 32,864,002 16,432,001 49,296,004 24,648,002 12,324,001 36,972,004 18,486,002 9,243,001 27,729,004 13,864,502 6,932,251 20,796,754 10,398,377 31,195,132 15,597,566 7,798,783 23,396,350 11,698,175 35,094,526 17,547,263 52,641,790 26,320,895 78,962,686 39,481,343 118,444,030 59,222,015 177,666,046 88,833,023 266,499,070 133,249,535 399,748,606 199,874,303 599,622,910 299,811,455 899,434,366 449,717,183 1,349,151,550 674,575,775 2,023,727,326 1,011,863,663 3,035,590,990 1,517,795,495 4,553,386,486 2,276,693,243 6,830,079,730 3,415,039,865 10,245,119,596 5,122,559,798 2,561,279,899 7,683,839,698 3,841,919,849 11,525,759,548 5,762,879,774 2,881,439,887

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