λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,790,656

1,790,656

26 × 72 × 571
Abundant Even Composite

1,790,656 factors as 2^6 × 7^2 × 571. Its 42 positive divisors give a proper-divisor sum of 2,350,052, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^6 × 7^2 × 571
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 4,140,708
Proper Divisor Sum 2,350,052
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1790651 ← → #1790669

Radix Representation

Decimal 1790656
Binary 110110101001011000000 (21 bits)
Octal 0o6651300
Hexadecimal 0x1B52C0

Divisor Catalog (42)

1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 571 784 1,142 1,568 2,284 3,136 3,997 4,568 7,994 9,136 15,988 18,272 27,979 31,976 36,544 55,958 63,952 111,916 127,904 223,832 255,808 447,664 895,328 1,790,656

Collatz Trajectory (114 steps to reach 1)

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

1,790,656 895,328 447,664 223,832 111,916 55,958 27,979 83,938 41,969 125,908 62,954 31,477 94,432 47,216 23,608 11,804 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,790,655 Browse Full Index Next Integer #1,790,657 →