7,209,540

2² × 3³ × 5 × 13² × 79

7,209,540 factors as 2^2 × 3^3 × 5 × 13^2 × 79. Its 144 positive divisors give a proper-divisor sum of 17,385,660, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 13^2 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 24,595,200

Proper Divisor Sum 17,385,660

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7209539 ← → #7209541

Radix Representation

Decimal	7209540
Binary	11011100000001001000100 (23 bits)
Octal	0o33401104
Hexadecimal	0x6E0244

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 79 90 108 117 130 135 156 158 169 180 195 234 237 260 270 316 338 351 390 395 468 474 507 540 585 676 702 711 780 790 845 948 1,014 1,027 1,170 1,185

Collatz Trajectory (98 steps to reach 1)

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

7,209,540 3,604,770 1,802,385 5,407,156 2,703,578 1,351,789 4,055,368 2,027,684 1,013,842 506,921 1,520,764 760,382 380,191 1,140,574 570,287 1,710,862 855,431 2,566,294 1,283,147 3,849,442 1,924,721 5,774,164 2,887,082 1,443,541 4,330,624 2,165,312 1,082,656 541,328 270,664 135,332 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095 171,286 85,643 256,930 128,465 385,396 192,698 96,349 289,048 144,524 72,262 36,131 108,394 54,197 162,592 81,296 40,648 20,324 10,162 5,081 15,244 7,622

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,209,539 Browse Full Index Next Integer #7,209,541 →