13,322,540

2² × 5 × 7 × 11 × 41 × 211

13,322,540 factors as 2^2 × 5 × 7 × 11 × 41 × 211. Its 96 positive divisors give a proper-divisor sum of 22,578,388, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 41 × 211

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 35,900,928

Proper Divisor Sum 22,578,388

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #13322539 ← → #13322563

Radix Representation

Decimal	13322540
Binary	110010110100100100101100 (24 bits)
Octal	0o62644454
Hexadecimal	0xCB492C

Divisor Catalog (60 of 96)

1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 211 220 287 308 385 410 422 451 574 770 820 844 902 1,055 1,148 1,435 1,477 1,540 1,804 2,110 2,255 2,321 2,870 2,954 3,157 4,220 4,510 4,642 5,740 5,908 6,314 7,385 8,651 9,020 9,284 11,605 12,628

Collatz Trajectory (166 steps to reach 1)

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

13,322,540 6,661,270 3,330,635 9,991,906 4,995,953 14,987,860 7,493,930 3,746,965 11,240,896 5,620,448 2,810,224 1,405,112 702,556 351,278 175,639 526,918 263,459 790,378 395,189 1,185,568 592,784 296,392 148,196 74,098 37,049 111,148 55,574 27,787 83,362 41,681 125,044 62,522 31,261 93,784 46,892 23,446 11,723 35,170 17,585 52,756 26,378 13,189 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #13,322,539 Browse Full Index Next Integer #13,322,541 →