9,735,971

7 × 67 × 20759

9,735,971 factors as 7 × 67 × 20759. Its 8 positive divisors give a proper-divisor sum of 1,557,469, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 7 × 67 × 20759

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,293,440

Proper Divisor Sum 1,557,469

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9735949 ← → #9735991

Radix Representation

Decimal	9735971
Binary	100101001000111100100011 (24 bits)
Octal	0o45107443
Hexadecimal	0x948F23

Divisor Catalog (8)

1 7 67 469 20,759 145,313 1,390,853 9,735,971

Collatz Trajectory (88 steps to reach 1)

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

9,735,971 29,207,914 14,603,957 43,811,872 21,905,936 10,952,968 5,476,484 2,738,242 1,369,121 4,107,364 2,053,682 1,026,841 3,080,524 1,540,262 770,131 2,310,394 1,155,197 3,465,592 1,732,796 866,398 433,199 1,299,598 649,799 1,949,398 974,699 2,924,098 1,462,049 4,386,148 2,193,074 1,096,537 3,289,612 1,644,806 822,403 2,467,210 1,233,605 3,700,816 1,850,408 925,204 462,602 231,301 693,904 346,952 173,476 86,738 43,369 130,108 65,054 32,527 97,582 48,791 146,374 73,187 219,562 109,781 329,344 164,672 82,336 41,168 20,584 10,292

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