945,945

3³ × 5 × 7² × 11 × 13

945,945 factors as 3^3 × 5 × 7^2 × 11 × 13. Its 96 positive divisors give a proper-divisor sum of 1,352,295, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 7^2 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,298,240

Proper Divisor Sum 1,352,295

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #945943 ← → #945949

Radix Representation

Decimal	945945
Binary	11100110111100011001 (20 bits)
Octal	0o3467431
Hexadecimal	0xE6F19

Divisor Catalog (60 of 96)

1 3 5 7 9 11 13 15 21 27 33 35 39 45 49 55 63 65 77 91 99 105 117 135 143 147 165 189 195 231 245 273 297 315 351 385 429 441 455 495 539 585 637 693 715 735 819 945 1,001 1,155 1,287 1,323 1,365 1,485 1,617 1,755 1,911 2,079 2,145 2,205

Collatz Trajectory (201 steps to reach 1)

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

945,945 2,837,836 1,418,918 709,459 2,128,378 1,064,189 3,192,568 1,596,284 798,142 399,071 1,197,214 598,607 1,795,822 897,911 2,693,734 1,346,867 4,040,602 2,020,301 6,060,904 3,030,452 1,515,226 757,613 2,272,840 1,136,420 568,210 284,105 852,316 426,158 213,079 639,238 319,619 958,858 479,429 1,438,288 719,144 359,572 179,786 89,893 269,680 134,840 67,420 33,710 16,855 50,566 25,283 75,850 37,925 113,776 56,888 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #945,944 Browse Full Index Next Integer #945,946 →