λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,197,834

7,197,834

2 × 3 × 7 × 172 × 593
Abundant Even Composite

7,197,834 factors as 2 × 3 × 7 × 17^2 × 593. Its 48 positive divisors give a proper-divisor sum of 10,308,534, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17^2 × 593
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,506,368
Proper Divisor Sum 10,308,534
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7197833 ← → #7197847

Radix Representation

Decimal 7197834
Binary 11011011101010010001010 (23 bits)
Octal 0o33352212
Hexadecimal 0x6DD48A

Divisor Catalog (48)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 578 593 714 867 1,186 1,734 1,779 2,023 3,558 4,046 4,151 6,069 8,302 10,081 12,138 12,453 20,162 24,906 30,243 60,486 70,567 141,134 171,377 211,701 342,754 423,402 514,131 1,028,262 1,199,639 2,399,278 3,598,917 7,197,834

Collatz Trajectory (222 steps to reach 1)

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

7,197,834 3,598,917 10,796,752 5,398,376 2,699,188 1,349,594 674,797 2,024,392 1,012,196 506,098 253,049 759,148 379,574 189,787 569,362 284,681 854,044 427,022 213,511 640,534 320,267 960,802 480,401 1,441,204 720,602 360,301 1,080,904 540,452 270,226 135,113 405,340 202,670 101,335 304,006 152,003 456,010 228,005 684,016 342,008 171,004 85,502 42,751 128,254 64,127 192,382 96,191 288,574 144,287 432,862 216,431 649,294 324,647 973,942 486,971 1,460,914 730,457 2,191,372 1,095,686 547,843 1,643,530

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,197,833 Browse Full Index Next Integer #7,197,835 →