9,736,167

3 × 7 × 463627

9,736,167 factors as 3 × 7 × 463627. Its 8 positive divisors give a proper-divisor sum of 5,099,929, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3 × 7 × 463627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,836,096

Proper Divisor Sum 5,099,929

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9736163 ← → #9736169

Radix Representation

Decimal	9736167
Binary	100101001000111111100111 (24 bits)
Octal	0o45107747
Hexadecimal	0x948FE7

Divisor Catalog (8)

1 3 7 21 463,627 1,390,881 3,245,389 9,736,167

Collatz Trajectory (238 steps to reach 1)

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

9,736,167 29,208,502 14,604,251 43,812,754 21,906,377 65,719,132 32,859,566 16,429,783 49,289,350 24,644,675 73,934,026 36,967,013 110,901,040 55,450,520 27,725,260 13,862,630 6,931,315 20,793,946 10,396,973 31,190,920 15,595,460 7,797,730 3,898,865 11,696,596 5,848,298 2,924,149 8,772,448 4,386,224 2,193,112 1,096,556 548,278 274,139 822,418 411,209 1,233,628 616,814 308,407 925,222 462,611 1,387,834 693,917 2,081,752 1,040,876 520,438 260,219 780,658 390,329 1,170,988 585,494 292,747 878,242 439,121 1,317,364 658,682 329,341 988,024 494,012 247,006 123,503 370,510

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