9,506,970

2 × 3⁴ × 5 × 11² × 97

9,506,970 factors as 2 × 3^4 × 5 × 11^2 × 97. Its 120 positive divisors give a proper-divisor sum of 18,881,082, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 11^2 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 28,388,052

Proper Divisor Sum 18,881,082

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9506969 ← → #9507007

Radix Representation

Decimal	9506970
Binary	100100010001000010011010 (24 bits)
Octal	0o44210232
Hexadecimal	0x91109A

Divisor Catalog (60 of 120)

1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 97 99 110 121 135 162 165 194 198 242 270 291 297 330 363 405 485 495 582 594 605 726 810 873 891 970 990 1,067 1,089 1,210 1,455 1,485 1,746 1,782 1,815 2,134 2,178 2,619 2,910 2,970

Collatz Trajectory (176 steps to reach 1)

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

9,506,970 4,753,485 14,260,456 7,130,228 3,565,114 1,782,557 5,347,672 2,673,836 1,336,918 668,459 2,005,378 1,002,689 3,008,068 1,504,034 752,017 2,256,052 1,128,026 564,013 1,692,040 846,020 423,010 211,505 634,516 317,258 158,629 475,888 237,944 118,972 59,486 29,743 89,230 44,615 133,846 66,923 200,770 100,385 301,156 150,578 75,289 225,868 112,934 56,467 169,402 84,701 254,104 127,052 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,506,969 Browse Full Index Next Integer #9,506,971 →