λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,790,874

7,790,874

2 × 3 × 7 × 13 × 19 × 751
Abundant Even Composite

7,790,874 factors as 2 × 3 × 7 × 13 × 19 × 751. Its 64 positive divisors give a proper-divisor sum of 12,422,886, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 19 × 751
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,213,760
Proper Divisor Sum 12,422,886
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7790873 ← → #7790897

Radix Representation

Decimal 7790874
Binary 11101101110000100011010 (23 bits)
Octal 0o35560432
Hexadecimal 0x76E11A

Divisor Catalog (60 of 64)

1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 751 798 1,482 1,502 1,729 2,253 3,458 4,506 5,187 5,257 9,763 10,374 10,514 14,269 15,771 19,526 28,538 29,289 31,542 42,807 58,578 68,341 85,614 99,883 136,682 185,497 199,766 205,023 299,649 370,994 410,046 556,491 599,298 1,112,982

Collatz Trajectory (93 steps to reach 1)

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

7,790,874 3,895,437 11,686,312 5,843,156 2,921,578 1,460,789 4,382,368 2,191,184 1,095,592 547,796 273,898 136,949 410,848 205,424 102,712 51,356 25,678 12,839 38,518 19,259 57,778 28,889 86,668 43,334 21,667 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,790,873 Browse Full Index Next Integer #7,790,875 →